Zero extension problem for the heat equation

DOI10.1007/S10114-022-0621-9zbMath1503.35088OpenAlexW4283774762MaRDI QIDQ2106852

Qiang Xu, Ge Yang Du, Shu Lin Zhou

Publication date: 29 November 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-0621-9

zbMATH Keywords

heat equationinitial-boundary value problemzero extension

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35) Classical solutions to PDEs (35A09)

Cites Work

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• Elliptic partial differential equations of second order
• Zero extension for Poisson's equation
• A sharp form of Whitney's extension theorem
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Schauder and L^PEstimates for Parabolic systems via campanato spaces
• On the Green's function for second order parabolic differential equations with discontinuous coefficients

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