Pseudo-differential equations and conical potentials: 2-dimensional case

• Autorzy: Vasilyev Vladimir B.

Identyfikatory

DOI

10.7494/OpMath.2019.39.1.109

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

pseudo-differential equation; wave factorization; Dirichlet problem; system of linear integral equations

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 1
• Strony: 109--124
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Vasilyev Vladimir B.

• Chair of Differential Equations Belgorod National Research State University Studencheskaya 14/1 Belgorod 308007, Russia

Bibliografia

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