sito in aggiornamento
Responsabile scientifico: Prof. Michele Di Cristo
   Home page  Servizi bibliotecari di Ateneo  Risorse elettroniche di Ateneo  Accesso da remoto  Area login  Collezioni digitali di Dipartimento
 
 
 Biblioteca
 Contatti
 Regolamento della Biblioteca
 Patrimonio


 Servizi per gli utenti
 Consultazione
 Prestito
 Prestito intersistemico
Prestito interbibliotecario
 Richiesta articoli con NILDE
 Assistenza bibliografica
 Proposte di acquisto
 Collezioni Digitali: istruzioni per gli autori


 Servizi per le Biblioteche
 Prestito intersistemico
Prestito interbibliotecario
 Fornitura di articoli in copia


  
CodiceQDD 123
TitoloPorous media equations with two weights: existence, uniqueness, smoothing and decay properties of energy solutions via Poincaré inequalities
Data2012-05-14
Autore/iGrillo, G.; Muratori, M.; Porzio, M.M.
LinkDownload full text
AbstractWe study weighted porous media equations on Euclidean domains, either with Dirichlet or with Neumann homogeneous boundary conditions. Existence of weak solutions and uniqueness in a suitable class is studied in detail. Moreover, short time smoothing effects in Lebesgue spaces are discussed for short time, in connection with the validity of a Poincaré inequality in appropriate weighted Sobolev spaces, and the long-time asymptotic behaviour is also studied. In fact, we prove full equivalence between certain smoothing effects and suitable weighted Poincaré-type inequalities. Particular emphasis is given to the Neumann problem, which is much less studied in the literature, as well as to the case of the whole Euclidean case when the corresponding weight makes its measure finite, so that solutions converge to their weighted average instead than to zero. Examples are given in terms of wide classes of weights.

Dipartimento di Matematica