Continuous dependence results for an ill-posed problem in nonlinear viscoelasticity

DOI10.1007/PL00001467zbMath0906.73030OpenAlexW1963993958MaRDI QIDQ1366341

Lawrence E. Payne, Karen A. Ames

Publication date: 1 February 1999

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001467

zbMATH Keywords

stabilityinitial-boundary value problemlogarithmic convexitybackward in time problemHölder continuous dependence on initial datamultidimensional momentum equationsone-dimensional momentum equation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Dynamical problems in solid mechanics (74Hxx)

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