Asymptotic behavior when t tends towards infinite of solutions of a class of nonlinear parabolic equations
by
Mohamed Zine Aissaoui
Faculty of Engineering, Departement of Mathematics, University of Guelma, Box 401, 24000 Guelma, ALGERIA

The object of this work is the study of the asymptotic behavior when t tends towards infinite of the solution of a class of equations of the form (du/dt)+A(u)+f(u)=0, where A is a linear operator not limited, f(u) is a nonlinear operator. We show that if the initial solution is no null, the solution is exactly exponential when t tends towards infinite, and the rate of decrease is characterized by an element of spectrum of operator A.

Date received: March 20, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # canu-67.