On an ILL-posed problem in nonlinear heat conduction

DOI10.1080/00411450008205867zbMath0957.35069OpenAlexW1994200365MaRDI QIDQ4488729

Isabella Torcicollo, Salvatore Rionero

Publication date: 16 March 2001

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450008205867

zbMATH Keywords

improperly posed problemfree boundary problemice at temperatures strictly below its freezing point

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Free boundary problems for PDEs (35R35)

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Cites Work

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• Asymptotic and other properties of a nonlinear diffusion model
• Error estimates for the temperature of a piece of cold ice, given data on only part of the boundary

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