Problem for the diffusion equation outside cuts on the plane with the Dirichlet condition and an oblique derivative condition on opposite sides of the cuts

DOI10.1134/S0012266112090017zbMath1263.35083OpenAlexW4248189807WikidataQ115252120 ScholiaQ115252120MaRDI QIDQ1938868

P. A. Krutitskii, K. V. Prozorov

Publication date: 25 February 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266112090017

zbMATH Keywords

boundary value problemDirichlet conditionstationary diffusion equationintegral representation of a solutionoblique derivative condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15)

Cites Work

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• A problem for the Helmholtz equation outside cuts on the plane with the Dirichlet condition and the oblique derivative condition on opposite sides of the cuts
• The Dirichlet-Neumann problem for the Helmholtz equation outside cuts in a plane
• The mixed problem for the Helmholtz equation in a multiply connected region
• Neumann's problem for the Helmholtz equation outside cuts in the plane
• Mixed problem for the Laplace equation outside cuts in a plane with setting Dirichlet and skew derivative conditions on different sides of the cuts

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