Continuous data dependence, regularization, and a three lines theorem for the heat equation with data in a space-like direction

DOI10.1007/BF01773508zbMath0544.35049MaRDI QIDQ796741

Levine, Howard A.

Publication date: 1983

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

zbMATH Keywords

log-convexitycontinuous dependence and unique continuationradially symmetric heat equationTikhonov regularization scheme

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35) Continuation and prolongation of solutions to PDEs (35B60)

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Cites Work

• A direct numerical procedure for the Cauchy problem for the heat equation
• A priori estimate for continuation of the solution of the heat equation in the space variable
• A Cauchy problem for the heat equation
• Determining Surface Temperatures from Interior Observations
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