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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
