American Institute of Mathematical Sciences

May  2009, 8(3): 923-953. doi: 10.3934/cpaa.2009.8.923

Global existence for nonlinear parabolic equations with a damping term

 1 Dip. Metodi e Modelli Matematici per le Scienze Applicate, Univ. Roma 1, Via Antonio Scarpa 16, 00161 Roma 2 Dipartimento di Matematica "G. Castelnuovo", Università degli Studi di Roma "La Sapienza", P.le A. Moro, 2 - 00185 Roma, Italy

Received  August 2006 Revised  September 2007 Published  February 2009

This paper deal with existence of global solutions of nonlinear parabolic equations, possibly with degenerate or singular principal part, when a source term with a very general growth and a damping term are present.
Citation: Daniela Giachetti, Maria Michaela Porzio. Global existence for nonlinear parabolic equations with a damping term. Communications on Pure & Applied Analysis, 2009, 8 (3) : 923-953. doi: 10.3934/cpaa.2009.8.923
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