Temat: Cauchy estimates - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Convergence of power series along vector fields and their commutators; a Cartan-Kähler type theorem
Autorzy:: Jakubczyk, B.
Powiązania:: https://bibliotekanauki.pl/articles/1207968.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: control systems
Cartan-Kähler theorem
power series
convergence
commutators
Cauchy estimates
vector fields
Opis:: We study convergence of formal power series along families of formal or analytic vector fields. One of our results says that if a formal power series converges along a family of vector fields, then it also converges along their commutators. Using this theorem and a result of T. Morimoto, we prove analyticity of formal solutions for a class of nonlinear singular PDEs. In the proofs we use results from control theory.
Źródło:: Annales Polonici Mathematici; 2000, 74, 1; 117-132
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: $L^p$-$L^q$-Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity
Autorzy:: Gawinecki, Jerzy
Powiązania:: https://bibliotekanauki.pl/articles/1313322.pdf
Data publikacji:: 1991
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: decay estimates
partial differential equations
Cauchy problem
symmetric hyperbolic system of first order
linear thermoelasticity
Opis:: We prove the $L^p$-$L^q$-time decay estimates for the solution of the Cauchy problem for the hyperbolic system of partial differential equations of linear thermoelasticity. In our proof based on the matrix of fundamental solutions to the system we use Strauss-Klainerman's approach [12], [5] to the $L^p$-$L^q$-time decay estimates.
Źródło:: Annales Polonici Mathematici; 1991, 54, 2; 135-145
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

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