On necessary and sufficient conditions for classical solvability of the Cauchy problem for linear parabolic equations

zbMath1019.35503MaRDI QIDQ1975819

Denis R. Akhmetov

Publication date: 4 May 2000

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemparabolic equationclassical solutioncontinuity modulusDini conditionHölder conditionDuhamel integralTikhonov function space

Mathematics Subject Classification ID

Heat equation (35K05) Linear operators on function spaces (general) (47B38) Initial value problems for second-order parabolic equations (35K15)

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Supremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the data

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