The construction of solutions to the heat equation backward in time

DOI10.1002/mma.1670010104zbMath0414.35072OpenAlexW2024159588MaRDI QIDQ3049272

Jet Wimp, David Colton

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1002/mma.1670010104

zbMATH Keywords

potential theoryfundamental solutionbackwards heat equationexpansions in special functionspseudo-heat equation

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (4)

Theory and the methods of solution of ill-posed problems ⋮ Existence of weak solutions to linear indefinite systems of differential equations ⋮ Stabilized approximate solutions of the inverse time problem for a parabolic evolution equation ⋮ Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures

Cites Work

• The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
• The exterior dirichlet problem for^†
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