- Tytuł:
- Echoes and glimpses of a distant drum
- Autorzy:
- Turner, John Wm.
- Powiązania:
- https://bibliotekanauki.pl/articles/1397342.pdf
- Data publikacji:
- 2021
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Kac drum problem
inverse methods
diffusion process - Opis:
- To what extent does the spectrum of the Laplacian operator on a domain D with prescribed boundary conditions determine its shape? This paper first retraces the history of this problem, then Kac’s approach in terms of a diffusion process with absorbing boundary conditions. It is shown how the restriction to a polygonal boundary for D in this method, which required taking the limit of an infinite number of sides to obtain a smooth one, can be avoided by using the Duhamel method.
- Źródło:
-
Opuscula Mathematica; 2020, 40, 6; 737-750
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł