Continuous dependence of nonnegative solutions of the heat equation on noncharacteristic cauchy data

DOI10.1080/00036819508840319zbMath0832.35011OpenAlexW2141396422WikidataQ58250386 ScholiaQ58250386MaRDI QIDQ4854514

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Publication date: 8 February 1996

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

Full work available at URL: https://doi.org/10.1080/00036819508840319

zbMATH Keywords

one-dimensional heat equationill posed Cauchy problem

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (1)

The application of the method of quasi-reversibility to the sideways heat equation

Cites Work

• Alcune limitazioni per le soluzioni di equazioni paraboliche
• A Cauchy problem for the heat equation
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound

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