Well-posedness of the Cauchy problem is studied for a class of linear parabolic equations with variable density, in the set of bounded solutions. 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.

Admissible Conditions for Parabolic Equations Degenerating at Infinity / Kamin, S; Pozio, Maria Assunta; Tesei, Alberto. - In: ST. PETERSBURG MATHEMATICAL JOURNAL. - ISSN 1061-0022. - STAMPA. - 19:2(2008), pp. 239-251. [10.1090/S1061-0022-08-00996-5]

Admissible Conditions for Parabolic Equations Degenerating at Infinity

POZIO, Maria Assunta;TESEI, Alberto
2008

Abstract

Well-posedness of the Cauchy problem is studied for a class of linear parabolic equations with variable density, in the set of bounded solutions. 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.
2008
Parabolic Cauchy problem; linear parabolic equations with variable density; bounded solutions
01 Pubblicazione su rivista::01a Articolo in rivista
Admissible Conditions for Parabolic Equations Degenerating at Infinity / Kamin, S; Pozio, Maria Assunta; Tesei, Alberto. - In: ST. PETERSBURG MATHEMATICAL JOURNAL. - ISSN 1061-0022. - STAMPA. - 19:2(2008), pp. 239-251. [10.1090/S1061-0022-08-00996-5]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/86963
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