Time and space Sobolev regularity of solutions to homogeneous parabolic equations

zbMath0962.35078MaRDI QIDQ1287006

Gabriella Di Blasio

Publication date: 13 June 2001

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

real interpolation spacenecessary and sufficient conditions on the initial functionsecond-order uniformly elliptic operator in divergence form

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Analysis of nonlinear fractional diffusion equations with a Riemann-Liouville derivative

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