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portada contributions to nonlinear analysis
Type
Physical Book
Illustrated by
Publisher
Author
Language
English
Pages
518
Format
Hardcover
Dimensions
23.4x16x3 cm
Weight
1.00 kg.
ISBN
3764371498
ISBN13
9783764371494
Categories

contributions to nonlinear analysis

David Costa (Illustrated by) · Thierry Cazenave (Illustrated by) · Orlando Lopes (Illustrated by) · Birkhauser · Hardcover

contributions to nonlinear analysis - Cazenave, Thierry ; Costa, David ; Lopes, Orlando

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Synopsis "contributions to nonlinear analysis"

This paper is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundary damping ? ? u u =u u in ? ×(0, +?) ? tt ? ? ? ? u=0 on ? ×(0, +?) 0 (1. 1) ? ? u+g(u)=0 on ? ×(0, +?) ? t 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x), x? ?, t n where ? is a bounded domain of R, n? 1, with a smooth boundary ? = ? . 0 1 Here, ? and ? are closed and disjoint and ? represents the unit outward normal 0 1 to ?. Problems like (1. 1), more precisely, ? u u =?f (u)in? ×(0, +?) ? tt 0 ? ? ? ? u=0 on ? ×(0, +?) 0 (1. 2) ? ? u =?g(u )?f (u)on? ×(0, +?) ? t 1 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x), x? ?, t were widely studied in the literature, mainly when f =0, see[6,13,22]anda 1 long list of references therein. When f =0and f = 0 this kind of problem was 0 1 well studied by Lasiecka and Tataru [15] for a very general model of nonlinear functions f (s), i=0,1, but assuming that f (s)s? 0, that is, f represents, for i i i each i, an attractive force.

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