The heat equation in Lq((0, T), Lp)-spaces with weights

N. V. Krylov

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

Existence and uniqueness theorems are presented for the heat equation in Lp-spaces with or without weights allowing derivatives of solutions to blow up near the boundary. It is allowed for the powers of summability with respect to space and time variables to be different.

Original languageEnglish (US)
Pages (from-to)1117-1141
Number of pages25
JournalSIAM Journal on Mathematical Analysis
Volume32
Issue number5
DOIs
StatePublished - Jan 1 2001

Keywords

  • Parabolic equations
  • Sobolev spaces with weights

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