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Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations
Authors:Ralph Chill  Alberto Fiorenza
Affiliation:a Abteilung Angewandte Analysis, Universität Ulm, 89069 Ulm, Germany
b Dipartimento di Costruzioni e Metodi Matematici in Architettura, Universitá di Napoli, Via Monteoliveto, 3, I-80134 Napoli, Italy
c Istituto per le Applicazioni del Calcolo “Mauro Picone”, Consiglio Nazionale delle Ricerche, via Pietro Castellino, 111, I-80131 Napoli, Italy
Abstract:We study the convergence and decay rate to equilibrium of bounded solutions of the quasilinear parabolic equation
ut−diva(x,∇u)+f(x,u)=0
Keywords:primary, 35B40   secondary, 35K55, 46E35
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