Data di Pubblicazione:
2008
Citazione:
Criteria for well-posedness of degenerate elliptic and parabolic problems / M.A. Pozio, F. Punzo, A. Tesei. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - 90:4(2008), pp. 353-386.
Abstract:
We provide explicit criteria for uniqueness or nonuniqueness of solutions to a wide class of second order elliptic and parabolic problems. The operator coefficients may be unbounded or vanish, or not to have a limit when approaching some part of the boundary, referred to as singular boundary. We discuss whether boundary conditions should be imposed on such a part to ensure well-posedness. The answer depends on the dimension of the singular boundary, and possibly on the behavior of coefficients near it.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Singular elliptic and parabolic problems; Upper and lower solutions; Well-posedness
Elenco autori:
M.A. Pozio, F. Punzo, A. Tesei
Link alla scheda completa: