Regularizing properties of space‐periodic layer heat potentials and applications to boundary value problems in periodic domains

DOI10.1002/mma.6269zbMath1446.35048OpenAlexW3005698051MaRDI QIDQ5116878

Paolo Luzzini

Publication date: 19 August 2020

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

Full work available at URL: https://doi.org/10.1002/mma.6269

zbMATH Keywords

integral equations methodintegral operators in parabolic Schauder spacesspace-periodic layer heat potentialsperiodic bounday conditions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Fundamental solutions to PDEs (35A08) Heat equation (35K05) Linear integral equations (45A05) Heat kernel (35K08)

Related Items (4)

Singular behavior for a multi-parameter periodic Dirichlet problem ⋮ A DEGENERATING ROBIN-TYPE TRACTION PROBLEM IN A PERIODIC DOMAIN ⋮ Multi-parameter perturbations for the space-periodic heat equation ⋮ The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation

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