- Tytuł:
- Pseudo-differential equations and conical potentials: 2-dimensional case
- Autorzy:
- Vasilyev, Vladimir B.
- Powiązania:
- https://bibliotekanauki.pl/articles/255700.pdf
- Data publikacji:
- 2019
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
pseudo-differential equation
wave factorization
Dirichlet problem
system of linear integral equations - Opis:
- We consider two-dimensional elliptic pseudo-differential equation in a plane sector. Using a special representation for an elliptic symbol and the formula for a general solution we study the Dirichlet problem for such equation. This problem was reduced to a system of linear integral equations and then after some transformations to a system of linear algebraic equations. The unique solvability for the Dirichlet problem was proved in Sobolev-Slobodetskii spaces and a priori estimate for the solution is given.
- Źródło:
-
Opuscula Mathematica; 2019, 39, 1; 109-124
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł