On the existence and uniqueness of solution of boundary‐domain integral equations for the Dirichlet problem for the nonhomogeneous heat transfer equation defined on a 2D unbounded domain

DOI10.1002/MMA.6967zbMath1475.35143arXiv2003.13523OpenAlexW3095669355MaRDI QIDQ4957062

Carlos Fresneda-Portillo, Zenebe W. Woldemicheal

Publication date: 3 September 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13523

zbMATH Keywords

Dirichlet problem weighted Sobolev spaces unbounded domain remainder parametrix exterior problem variable coefficient boundary-domain integral equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Linear integral equations (45A05)

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