Periodic Transmission Problems for the Heat Equation

DOI10.1007/978-3-030-16077-7_17zbMath1444.35092OpenAlexW2963804987MaRDI QIDQ3294826

Paolo Musolino, Paolo Luzzini

Publication date: 29 June 2020

Published in: Integral Methods in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-16077-7_17

zbMATH Keywords

parabolic Schauder spacespace-periodic layer heat potentialstwo space-periodic transmission problems

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Integral representations of solutions to PDEs (35C15)

Related Items (2)

Singular behavior for a multi-parameter periodic Dirichlet problem ⋮ Multi-parameter perturbations for the space-periodic heat equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The heat equaton with general periodic boundary conditions
• Tangential derivatives and higher-order regularizing properties of the double layer heat potential
• Effective conductivity of a periodic dilute composite with perfect contact and its series expansion
• Boundary integral operators for the heat equation
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains
• The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders
• The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders
• Heat Conduction in Fine Scale Mixtures With Interfacial Contact Resistance
• Asymptotic behavior of the solution of singularly perturbed transmission problems in a periodic domain
• A Singularly Perturbed Nonideal Transmission Problem and Application to the Effective Conductivity of a Periodic Composite
• Asymptotic behavior of the approximate controls for parabolic equations with interfacial contact resistance

This page was built for publication: Periodic Transmission Problems for the Heat Equation