Stabilization of ill-posed Cauchy problems for parabolic equations

DOI10.1007/BF01773944zbMath0657.35065OpenAlexW2068887394MaRDI QIDQ1110728

Sergio Vessella, Peter Knabner

Publication date: 1987

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01773944

zbMATH Keywords

continuous dependencestability estimatesnoncharacteristic Cauchy problemlogarithmic typeHölder typeweak a priori bounds

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)

Related Items (5)

Stable reconstruction of the initial condition in parabolic equations from boundary observations ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic ⋮ AN ILL-POSED PROBLEM FOR THE HEAT EQUATION ⋮ On some improperly posed problem for a degenerate nonlinear parabolic equation ⋮ Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain

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