Boundary behavior of the layer potentials for the time fractional diffusion equation in Lipschitz domains

DOI10.1216/JIE-2011-23-4-541zbMath1381.35222MaRDI QIDQ2427793

Jukka T. Kemppainen

Publication date: 18 April 2012

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1321885188

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Integral operators (45P05) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Fractional partial differential equations (35R11)

Related Items (6)

A numerical scheme for the time-fractional diffusion equation by layer potentials ⋮ On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative ⋮ Solvability of a Dirichlet problem for a time fractional diffusion-wave equation in Lipschitz domains ⋮ D'Alembert formula for diffusion-wave equation ⋮ Boundary value problem for a loaded fractional diffusion equation ⋮ Existence and uniqueness of the solution for a time-fractional diffusion equation

This page was built for publication: Boundary behavior of the layer potentials for the time fractional diffusion equation in Lipschitz domains