Contributions to Nonlinear Analysis: A Tribute to D.G. de - download pdf or read online

December 26, 2017

By Thierry Cazenave,David Costa,Orlando Lopes,Raúl Manásevich,Paul Rabinowitz,Bernhard Ruf,Carlos Tomei

This paper is worried with the lifestyles and uniform decay premiums of strategies of the waveequation with a sourceterm and topic to nonlinear boundary damping ? ? u ?? u =|u| u in ? ×(0,+?) ? tt ? ? ? ? u=0 on ? ×(0,+?) zero (1. 1) ? ? u+g(u)=0 on ? ×(0,+?) ? t 1 ? ? ? ? zero 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t n the place ? is a bounded area of R ,n? 1, with a tender boundary ? = ? ?? . zero 1 the following, ? and ? are closed and disjoint and ? represents the unit outward general zero 1 to ?. difficulties like (1. 1), extra accurately, ? u ?? u =?f (u)in? ×(0,+?) ? tt zero ? ? ? ? u=0 on ? ×(0,+?) zero (1. 2) ? ? u =?g(u )?f (u)on? ×(0,+?) ? t 1 1 ? ? ? ? zero 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t have been commonly studied within the literature, ordinarily while f =0,see[6,13,22]anda 1 lengthy record of references therein. whilst f =0and f = zero this sort of challenge was once zero 1 good studied by way of Lasiecka and Tataru [15] for a truly normal version of nonlinear services f (s),i=0,1, yet assuming that f (s)s? zero, that's, f represents, for i i i each one i, an enticing force.

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