Trace formulae of potentials for degenerate parabolic equations

Mukhtar Karazym, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences, we obtain trace formulae of the heat volume potential and the Poisson integral which solve Kac's problem for degenerate parabolic equations in cylindrical domains.

Original languageEnglish
Pages (from-to)337-360
Number of pages24
JournalDifferential and Integral Equations
Volume33
Issue number7-8
Publication statusPublished - Aug 2020

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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