Admissible conditions for parabolic equations degenerating at infinity

Sh Kamin, M. A. Pozio, A. Tesei

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Well-posedness in L∞(ℝn) (n ≥ 3) of the Cauchy problem is studied for a class of linear parabolic equations with variable density. In view of degeneracy at infinity, some conditions at infinity are possibly needed to make the problem well-posed. Existence and uniqueness results are proved for bounded solutions that satisfy either Dirichlet or Neumann conditions at infinity.

Original languageEnglish
Pages (from-to)239-251
Number of pages13
JournalSt. Petersburg Mathematical Journal
Volume19
Issue number2
DOIs
StatePublished - 2008

Keywords

  • Bounded solutions
  • Linear parabolic equations with variable density
  • Parabolic Cauchy problem

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