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Tytuł:
Entire solutions for some critical equations in the Heisenberg group
Autorzy:
Pucci, Patrizia
Temperini, Letizia
Powiązania:
https://bibliotekanauki.pl/articles/2048898.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Heisenberg group
entire solutions
critical exponents
Opis:
We complete the study started in the paper [P. Pucci, L. Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no. 007], giving some applications of its abstract results to get existence of solutions of certain critical equations in the entire Heinseberg group. In particular, different conditions for existence are given for critical horizontal p-Laplacian equations.
Źródło:
Opuscula Mathematica; 2022, 42, 2; 279-303
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and multiplicity results for quasilinear equations in the Heisenberg group
Autorzy:
Pucci, Patrizia
Powiązania:
https://bibliotekanauki.pl/articles/254748.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Heisenberg group
entire solutions
critical exponents
Opis:
In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation [formula] in Hn, depending on a real parameter λ, which involves a general elliptic operator A in divergence form and two main nonlinearities. Here, in the so called sublinear case, we prove existence for all λ > 0 and, for special elliptic operators A, existence of infinitely many solutions [formula].
Źródło:
Opuscula Mathematica; 2019, 39, 2; 247-257
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Entre o Determinismo e o Indeterminismo: um caminho da física à filosofia
Between Determinism and Indeterminism: A Path from Physics to Philosophy
Autorzy:
Meneses, Ramiro Délio Borges De
Powiązania:
https://bibliotekanauki.pl/articles/485685.pdf
Data publikacji:
2017
Wydawca:
Instytut Studiów Międzynarodowych i Edukacji Humanum
Tematy:
Determinism, Nature’s Laws and W. Heisenberg principle
Opis:
In this article, I explain the macroscopic aspect of the functions of Nature’s Laws that they are based on actual causality from n-physic structures. However, in the microscopic situation, the Nature’s Laws are statisticals and subjects sentences, that in metric and objective indeterminism of wave-particle duality in fieri are ground. Meanwhile, we propose the philosophical foundations of properties of Nature’s Laws and your epistemological discussion, according to the W. Heisenberg’s principles condition. The uncertainty principle describes limits imposed by nature on the precision of simultaneous measurements of the position and momentum of an object. Mathematically stated, if an object is said to be at a position x within an uncertainty of Δ ; then any simultaneous measurement of the x component of momentum must have an uncertainty Δ x consistent with: Δ x . Δ p x ~ h.
Źródło:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne; 2017, 1(24); 13-32
1898-8431
Pojawia się w:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Concentration compactness results for systems in the Heisenberg group
Autorzy:
Pucci, Patrizia
Temperini, Letizia
Powiązania:
https://bibliotekanauki.pl/articles/255214.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Heisenberg group concentration-compactness
critical exponents
Hardy terms
Opis:
In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal. 9 (2020), 895-922] on some variants of the concentration-compactness principle in bounded PS domains Ω of the Heisenberg group [formula]. The concentration-compactness principle is a basic tool for treating nonlinear problems with lack of compactness. The results proved here can be exploited when dealing with some kind of elliptic systems involving critical nonlinearities and Hardy terms.
Źródło:
Opuscula Mathematica; 2020, 40, 1; 151-163
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of solution of sub-elliptic equations on the Heisenberg group with critical growth and double singularities
Autorzy:
Chen, J.
Rocha, E. M.
Powiązania:
https://bibliotekanauki.pl/articles/255734.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
sub-elliptic equations
Heisenberg group
Least energy solutions
Opis:
For a class of sub-elliptic equations on Heisenberg group HN with Hardy type singularity and critical nonlinear growth, we prove the existence of least energy solutions by developing new techniques based on the Nehari constraint. This result extends previous works, e.g., by Han et al. [Hardy-Sobolev type inequalities on the H-type group, Manuscripta Math.118 (2005), 35–252].
Źródło:
Opuscula Mathematica; 2013, 33, 2; 237-254
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Heisenberg analytical-numerical model of nanoparticle with para- and ferromagnetism
Autorzy:
Leble, Sergey
Chychkalo, Anastasiia
Powiązania:
https://bibliotekanauki.pl/articles/1955221.pdf
Data publikacji:
2019
Wydawca:
Politechnika Gdańska
Tematy:
magnetic nanoparticle
Heisenberg partition function
agnetization curves
hysteresis loop
Opis:
Two models of two- and three-layers of a magnetic nanoparticle are presented applying the Heisenberg theory with the parameter (exchange integral and closest neighbors) values for surface layers, which differ from the bulk layer values. The difference in the numbers of closest neighbors is taken into account. The corresponding distribution and partition functions are constructed. The magnetization of the particles is calculated by the conventional transition to thermodynamics. The results are illustrated by plots, representing magnetization curves and hysteresis loops for the layer contributions. The magnetization curves for both models are compared.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2019, 23, 3; 303-317
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relacje między filozofią a współczesną nauką na przykładzie pism Wernera Heisenberga
Relations between philosophy and modern science on the example of the writings of Werner Heisenberg
Autorzy:
Sobkowiak, Sebastian
Powiązania:
https://bibliotekanauki.pl/articles/1048055.pdf
Data publikacji:
2019-12-15
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
Werner Heisenberg
fizyka a filozofia
filozofia nauki
czas
przyczynowość
materia
zasada nieoznaczoności Heisenberga
physics and philosophy
philosophy of science
time
causality
matter
heisenberg uncertainty principle
Opis:
The article aims at presenting the relationship between science and philosophy based on the works of Werner Heisenberg. It deals with the infl uence of the scientifi c breakthrough on the understanding of physical concepts such as matter, time and causality. It also contains a discussion on the process of creating a new branch of science – quantum mechanics, and shows how the work and views of Heisenberg contributedto it. The relationship between physics and philosophy is presented here with particular emphasis on showing the results of research and philosophical refl ections on the concepts of matter, the philosophy of the language of science, the theory of unifi cation and the fl agship work of Heisenberg: the principle of uncertainty.
Źródło:
Filozofia Chrześcijańska; 2019, 16; 139-159
1734-4530
2450-0399
Pojawia się w:
Filozofia Chrześcijańska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A restriction theorem for the Heisenberg motion
Autorzy:
Ratnakumar, P. K.
Rawat, Rama
Thangavelu, S.
Powiązania:
https://bibliotekanauki.pl/articles/1219046.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hermite function
special Hermite function
Laguerre function
class-1 representation
Heisenberg motion group
Opis:
We prove a restriction theorem for the class-1 representations of the Heisenberg motion group. This is done using an improvement of the restriction theorem for the special Hermite projection operators proved in [13]. We also prove a restriction theorem for the Heisenberg group.
Źródło:
Studia Mathematica; 1997, 126, 1; 1-12
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation and Prediction of the Wind Speed Change Function
Autorzy:
Klen, K.
Zhuikov, V.
Powiązania:
https://bibliotekanauki.pl/articles/410602.pdf
Data publikacji:
2018
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
distributed generation
wind generator
Heisenberg’s uncertainty principle
linear approximation
Walsh functions
regression analysis
Opis:
In the article the features of energy summation from two wind generators, located at a certain distance from each other, are considered. The method of calculating the correlation function between the wind flow speed change functions in the direction of wind distribution is presented. The formulas for describing the fluctuation components of energy at the output of the wind generator are given for two cases: when the phases of the fluctuations of the wind flow on two wind generators are the same and when the fluctuations of the wind flow are in the antiphases. It is shown that to increase the energy level that can be taken from the wind power plant it is necessary to control the phase shift between the energy fluctuations at the output of the wind generators and use the energy of the storages; and to use linear approximations to approximate the wind speed change function. Under the condition of a linear change of the internal resistance of the wind generator in time, it is advisable to introduce the wind speed change function with linear approximations. The system of orthonormal linear functions based on Walsh functions is given. A table with formulas and graphs describing the first 8 functions, which are arranged in order of increasing the number of their sign alternating on the interval of functions definition, is presented. The result of the approximation of the wind speed change function with a system of 8 linear functions based on Walsh functions is shown. Decomposition coefficients, mean-square and average relative approximation errors for such approximation are calculated. In order to find the parameters of multiple linear regression the method of least squares is applied. The regression equation in matrix form is given. An example of application of linear regression prediction method to simple functions is shown. The restoration result for wind speed change function is shown. Decomposition coefficients, mean-square and average relative approximation errors for restoration of wind speed change function with linear regression method are calculated.
Źródło:
Present Problems of Power System Control; 2018, 9; 35-46
2084-2201
Pojawia się w:
Present Problems of Power System Control
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some remarks on Bochner-Riesz means
Autorzy:
Thangavelu, S.
Powiązania:
https://bibliotekanauki.pl/articles/965807.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
unitary representations
Schrödinger operators
Bochner-Riesz means
nilpotent groups
Rockland operators
Heisenberg group
summability
Opis:
We study $L^p$ norm convergence of Bochner-Riesz means $S_R^δ f$ associated with certain non-negative differential operators. When the kernel $S_R^m(x,y)$ satisfies a weak estimate for large values of m we prove $L^p$ norm convergence of $S_R^δ f$ for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.
Źródło:
Colloquium Mathematicum; 2000, 83, 2; 217-230
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Digital information processing: The Lie groups defining the filter banks of the compact disc
Autorzy:
Binz, E.
Shempp, W.
Powiązania:
https://bibliotekanauki.pl/articles/1963000.pdf
Data publikacji:
2002
Wydawca:
Politechnika Gdańska
Tematy:
information technology
CD-Digital Audio format
holographic data storage
Heisenberg Lie group
filter bank design
Opis:
The versality of the compact disc (CD) has quickly become apparent to manufacturers and users alike. Exceeding the expectations of even its most ardent supporters, the CD holographic disc storage system has become one of the most successful consumer electronics products ever introduced. The phenomenal success of the audio CD on the eager worldwide marketplace has encouraged rapid development of CD technology and spawned entirely new high tech applications for the dimpled disc. The Mini Disc (MD), for instance, occupies about one-fourth the area of the standard CD-Digital Audio (CD-DA) format yet provides an identical playing time through efficient data reduction. The essence of digital audio lies in its numerical basis. It is the aim of the present paper to elaborate the mathematical principles underlying the audio CD as far as they are concerned to the format's electronic and holographic principles.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2002, 6, 2; 283-307
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The vision of the future without atomic power
Autorzy:
Nakatomi, Kiyokazu
Powiązania:
https://bibliotekanauki.pl/articles/2131683.pdf
Data publikacji:
2014
Wydawca:
Instytut Studiów Międzynarodowych i Edukacji Humanum
Tematy:
explosion at Fukushima nuclear plant
atomic bomb
Heisenberg
Heidegger
Jinsaburo Takagi
new energy in future
Opis:
In March 2011 Japan experienced a series of disasters starting from a magnitude 9 earthquake, followed by a devastating tsunami and hydrogen explosion at the Fukushima nuclear plant as a consequence of the damage and failure of the cooling system incurred from the tsunami wave. This triple severe impact crippled Japanese people living in the area up to 20 km from the damaged plant who were forcibly evacuated, many of them forsaking their hometowns forever. As the Chernobyl accident demonstrated before, we cannot fully embrace the nuclear power. It would seem natural that Japan, being the only country that experienced destruction caused by the nuclear bombings of Hiroshima and Nagasaki, would be entirely avoiding the use of nuclear power. Up until now, nuclear power was thought to be a clean and safe source of energy while potential consequences of an accident were played down. Too bad, the last earthquake and tsunami pierced the veil of that belief. Despite the fact that one year has passed since the explosion and the nuclear contamination, the crisis continues while the area in the radius of 20 km from the former Fukushima nuclear power plant is a collection of ghost towns. For the politicians, nuclear power is a blessing, because it provides cheap energy for the economy and creates jobs. On the other hand it is just too dangerous and it is inconceivable to sacrifice the livelihoods of hundreds of thousands for the benefits of so few. Although the benefits for the economy are undisputed, I don’t think we need nuclear power anymore. In this essay, I would like to share my vision of a Japan without nuclear power referring to the predictions of Martin Heidegger and the Japanese physicist Jinsaburo Takagi.
Źródło:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne; 2014, 4(15); 5-10
1898-8431
Pojawia się w:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ekranizacje powieści Agathy Christie „Morderstwo w Orient Expressie”– obserwujesz i jesteś obserwowany
Screen adaptations of Agatha Christie’s novel Murder in Orient Express – you observe and you are being observed
Autorzy:
Bartoszewicz, Iwona
Powiązania:
https://bibliotekanauki.pl/articles/1191945.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Wrocławski. Oficyna Wydawnicza ATUT – Wrocławskie Wydawnictwo Oświatowe
Tematy:
Agatha Christie
Murder in Orient Express
screen adaptation
Heisenberg’s uncertainty principle
adaptation
observer
interpretation
Opis:
Agatha Christie (1890–1976), less known as lady Mallowan, an outstanding author, mainly of detective novels, published “Murder in Orient Express” in 1933/34. From the very beginning, the book was considered a masterpiece of this genre. The reason for that is not only brilliantly constructed plot with astonishing culminating point, but also the fact that the author of the book referred to an authentic event which evoked great emotions. The event that inspired this novel was kidnapping and murder of the little son of a known and admired American pioneer of intercontinental flights, Charles August Lindbergh, that happened in 1932. The novel was translated into almost all languages. There were also numerous stage adaptations. At least four films were based on this novel which indicates the cultural significance of the work. The subject of the considerations in the present paper is an attempt to search for the answer about the role of the so-called observer in the process of reconstruction, retransmission and assimilation of thematic threads, which can become the reference point not only for the author of the literary work. They may become an element of collective memory and, in this way, the element of culture constituting narration. However, as an object of general knowledge, they are at the same time subjected to common interpretation. The Heisenberg’s uncertainty principle, referred to in its basic range in quantum mechanics, indicates the significant role of the subject observing in this process. Heisenberg proved that the presence of an observer is not neutral from the point of view of the quality of the results. Referring to these considerations on the text as a cultural object, let us analyse the ways in which the theme was modified and the significance of these changes. We consider Agatha Christie’s novel and especially its screen adaptations an interesting object of research. The observer, as it turns out, is beside the researcher also the author of the literary text, screenwriter, translator…
Źródło:
Studia Translatorica; 2019, 10; 113-133
2084-3321
2657-4802
Pojawia się w:
Studia Translatorica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 22

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