{"product_id":"9783764371494","title":"Progress in Nonlinear Differential Equations and Their Applications: A Tribute to D.G. de Figueiredo on the Occasion of his 70th Birthday","description":"\u003ch1\u003eProgress in Nonlinear Differential Equations and Their Applications: A Tribute to D.G. de Figueiredo on the Occasion of his 70th Birthday\u003c\/h1\u003e \u003ch2\u003eCazenave, Thierry; Costa, David; Lopes, Orlando; Manásevich, Raúl; Rabinowitz, Paul; Ruf, Bernhard; Tomei, Carlos\u003c\/h2\u003e \u003cp\u003eThis 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2005-11-18\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783764371494\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/3-7643-7401-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 520\u003c\/p\u003e ","brand":"Birkhäuser Basel","offers":[{"title":"Default Title","offer_id":45378500460684,"sku":"9783764371494","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783764371494.jpg?v=1775703754","url":"https:\/\/lateknightbooks.com\/products\/9783764371494","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}