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ISBN 10 : 3764371498 ISBN 13 : 9783764371494
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Ajouter au panierBuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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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ISBN 10 : 3764371498 ISBN 13 : 9783764371494
Langue: anglais
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Ajouter au panierBuch. Etat : Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 532 pp. Englisch.
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Ajouter au panierGebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. State of the art in the fields of nonlinear analysis and nonlinear differential equationsA tribute to the distinguished mathematician D.G. de FigueiredoThis paper is concerned with the existence and uniform decay rates of solutions of the .