An Lq(Lp)-Theory for Parabolic Pseudo-Differential Equations: Calderón-Zygmund Approach

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Abstract

In this paper we present a Calderón-Zygmund approach for a large class of parabolic equations with pseudo-differential operators (Formula presented.) of arbitrary order (Formula presented.). It is assumed that (t) is merely measurable with respect to the time variable. The unique solvability of the equation(Formula presented.) and the Lq(R,Lp)-estimate (Formula presented.) are obtained for any λ > 0 and (Formula presented.).

Original languageEnglish
Pages (from-to)1-21
Number of pages21
JournalPotential Analysis
DOIs
Publication statusAccepted/In press - 2016 Mar 30

Keywords

  • Calderón-Zygmund approach
  • L(L)-estimate
  • Parabolic Pseudo-differential equations

ASJC Scopus subject areas

  • Analysis

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