RT Journal Article
T1 Non well posedness of parabolic equations with supercritical nonlinearities
A1 Arrieta Algarra, José María
A1 Rodríguez Bernal, Aníbal
AB In this paper we show that several known critical exponents for nonlinear parabolic problems axe optimal in the sense that supercritical problems are ill posed in a strong sense. We also give an answer to an open problem proposed by Brezis and Cazenave in [9], concerning the behavior of the existence time for critical problems. Our results cover nonlinear heat equations including the case of nonlinear boundary conditions and weigthed spaces settings. In the latter case we show that in some cases the critical exponent is equal to one.
PB World Scientific Publ. Co. Pte. Ltd.
SN 0219-1997
YR 2004
FD 2004-10
LK https://hdl.handle.net/20.500.14352/50296
UL https://hdl.handle.net/20.500.14352/50296
LA eng
NO DGES (Spain)
DS Docta Complutense
RD 8 abr 2025