The Dirichlet-to-Neumann map for the heat equation on a moving boundary

DOI10.1088/0266-5611/23/4/020zbMath1127.35086OpenAlexW1964684258MaRDI QIDQ5757533

Silvana De Lillo, Athanassios S. Fokas

Publication date: 7 September 2007

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/23/4/020

zbMATH Keywords

heat equationVolterra integral equationDirichlet-to-Neumann map

Mathematics Subject Classification ID

Heat equation (35K05) Free boundary problems for PDEs (35R35) Linear integral equations (45A05)

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Generalized Dirichlet-to-Neumann Map in Time-Dependent Domains ⋮ An inverse problem for a nonlinear diffusion-convection equation ⋮ Integral representations for the double-diffusivity system on the half-line ⋮ On hitting times, Bessel bridges and Schrödinger's equation ⋮ The Fokas method for integrable evolution equations on a time-dependent interval ⋮ On the zeros of the Pearcey integral and a Rayleigh-type equation ⋮ The Klein–Gordon Equation in a Domain with Time‐Dependent Boundary ⋮ Nonlinear diffusion in arterial tissues: a free boundary problem ⋮ Dirichlet-to-Neumann Map for a Nonlinear Diffusion Equation

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