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Algebra i Analiz, 2007, Volume 19, Issue 2, Pages 105–121 (Mi aa115)  
This article is cited in 26 scientific papers (total in 26 papers)

Research Papers

Admissible conditions for parabolic equations degenerating at infinity

Sh. Kamina, M. A. Poziob, A. Teseib

a School of Mathematical Sciences, Tel Aviv University, Tel-Aviv, Israel
b Dipartimento di Matematica "G. Castelnuovo", Università di Roma "La Sapienza", Roma, Italia
Full-text PDF (176 kB) Citations (26)
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Abstract: Well-posedness in $L^\infty(\mathbb{R}^n)$ $(n\ge3)$ 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.
Keywords: Parabolic Cauchy problem, linear parabolic equations with variable density, bounded solutions.
Received: 01.12.2005
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 2, Pages 239–251
DOI: https://doi.org/10.1090/S1061-0022-08-00996-5
Bibliographic databases:
Document Type: Article
MSC: 35K15, 35K65
Language: English
Citation: Sh. Kamin, M. A. Pozio, A. Tesei, “Admissible conditions for parabolic equations degenerating at infinity”, Algebra i Analiz, 19:2 (2007), 105–121; St. Petersburg Math. J., 19:2 (2008), 239–251
Citation in format AMSBIB
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\by Sh.~Kamin, M.~A.~Pozio, A.~Tesei
\paper Admissible conditions for parabolic equations degenerating at infinity
\jour Algebra i Analiz
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\pages 105--121
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\zmath{https://zbmath.org/?q=an:1152.35413}
\elib{https://elibrary.ru/item.asp?id=9487750}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 2
\pages 239--251
\crossref{https://doi.org/10.1090/S1061-0022-08-00996-5}
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  • https://www.mathnet.ru/eng/aa/v19/i2/p105
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:80
    First page:5
     
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