On the existence of solution of the boundary-domain integral equation system derived from the 2D Dirichlet problem for the diffusion equation with variable coefficient using a novel parametrix
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Publication:5856102
DOI10.1080/17476933.2019.1687457zbMath1460.35106arXiv1907.07620OpenAlexW3105153517MaRDI QIDQ5856102
Zenebe W. Woldemicheal, Carlos Fresneda-Portillo
Publication date: 24 March 2021
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.07620
Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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On the well-posedness of two boundary-domain integral equation systems equivalent to the Dirichlet problem for the Stokes system with variable viscosity ⋮ On the analysis and numerics of united and segregated boundary-domain integral equation systems in 2D
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