Regularization of the cauchy problem for the heat equation by norm bounds

DOI10.1080/00036818408839503zbMath0526.35075OpenAlexW1976627476WikidataQ58247027 ScholiaQ58247027MaRDI QIDQ3041653

Peter Knabner

Publication date: 1984

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818408839503

zbMATH Keywords

regularizationCauchy problemnon-cylindrical domainnorm boundsuniform estimates of logarithmic type

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45)

Related Items (1)

Stabilization of ill-posed Cauchy problems for parabolic equations

Cites Work

• Alcune limitazioni per le soluzioni di equazioni paraboliche
• Calculation of the surface temperature and heat flux on one side of a wall from measurements on the opposite side
• 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
• The Cauchy Problem for the Heat Equation

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