Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains

zbMath1036.35067MaRDI QIDQ1419657

Marius Mitrea, John L. Lewis, Steven Hofmann

Publication date: 19 January 2004

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

heat equationdouble layer potentialtransmission problemsingle layer potential

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Initial-boundary value problems for second-order parabolic equations (35K20) Integral operators (45P05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Fredholm integral equations (45B05)

Related Items (9)

Spectral properties of the layer potentials associated with elasticity equations and transmission problems on Lipschitz domains ⋮ Analytic properties of heat equation solutions and reachable sets ⋮ Multi-parameter perturbations for the space-periodic heat equation ⋮ Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques ⋮ Heat Generation Using Lorentzian Nanoparticles. The Full Maxwell System ⋮ Periodic Transmission Problems for the Heat Equation ⋮ Regularity of a transmission problem and periodic homogenization ⋮ Spectral properties of the layer potentials on Lipschitz domains ⋮ Spectral properties for layer potentials associated to the Stokes equation in Lipschitz domains

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