On some isomorphism generated by a~linear parabolic equation

DOI10.1007/BF02679748zbMath0926.35046MaRDI QIDQ1307150

Denis R. Akhmetov

Publication date: 28 October 1999

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

continuity modulusZygmund conditionsweighted Hölder spacessufficient and necessary conditionsDini conditions

Mathematics Subject Classification ID

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 (3)

Supremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the data ⋮ Regularity of solution to the Cauchy problem for parabolic equation in the Dini space ⋮ An existence criterion for \(L_1\)-norms of higher-order derivatives of solutions to a homogeneous parabolic equation

Cites Work

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• Tikhonov-Petrovskii problem for second-order parabolic equations
• Interior estimates for solutions to quasiparabolic systems
• Über lineare elliptische Differentialgleichungen zweiter Ordnung
• On the isomorphism generated by the heat equation
• Some estimates for solutions of parabolic equations
• Formule di maggiorazione e teoremi di esistenza per le soluzioni delle equazioni paraboliche in due variabili

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