Solution of one initial-boundary Wentzel problem for a parabolic equation with discontinuous coefficients by the boundary integral equation method

• Autorzy: Kopytko B. , Tsapovska Z.

Identyfikatory

DOI

10.17512/jamcm.2017.1.05

• Języki publikacji: EN

Abstrakty

EN

In this article we consider the question of existence in the Holder class of the solution of the initial-boundary problem for a linear parabolic second-degree equation with discontinuous coefficients in noncylindrical domain. This domain is bounded of the smooth elementary surfaces of the Holder class H ^{2+λ, (2+λ )/2}. The boundary conditions and the conjugation condition of the Wentzel type are given to external and internal boundaries of a domain respectively. We use the potential method to solve this problem.

Słowa kluczowe

EN

linear parabolic second-degree operator; potential method; conjugation condition of Wentzel type

PL

problem początkowo-brzegowy; metoda potencjału; warunki brzegowe; warunek koniugacji

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 1
• Strony: 51--62
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kopytko B.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Tsapovska Z.

• Ivan Franko Lviv National University Lviv, Ukraine

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).