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Titlebook: Contributions to Nonlinear Analysis; A Tribute to D.G. de Thierry Cazenave,David Costa,Carlos Tomei Book 2006 Birkhäuser Basel 2006 Maxwell

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发表于 2025-3-21 16:35:22 | 显示全部楼层 |阅读模式
书目名称Contributions to Nonlinear Analysis
副标题A Tribute to D.G. de
编辑Thierry Cazenave,David Costa,Carlos Tomei
视频videohttp://file.papertrans.cn/238/237196/237196.mp4
概述State of the art in the fields of nonlinear analysis and nonlinear differential equations.A tribute to the distinguished mathematician D.G. de Figueiredo.Includes supplementary material:
丛书名称Progress in Nonlinear Differential Equations and Their Applications
图书封面Titlebook: Contributions to Nonlinear Analysis; A Tribute to D.G. de Thierry Cazenave,David Costa,Carlos Tomei Book 2006 Birkhäuser Basel 2006 Maxwell
描述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.
出版日期Book 2006
关键词Maxwell‘s equations; Nonlinear equations; Partial differential equations; calculus; hyperbolic equation;
版次1
doihttps://doi.org/10.1007/3-7643-7401-2
isbn_ebook978-3-7643-7401-3Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightBirkhäuser Basel 2006
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书目名称Contributions to Nonlinear Analysis影响因子(影响力)




书目名称Contributions to Nonlinear Analysis影响因子(影响力)学科排名




书目名称Contributions to Nonlinear Analysis网络公开度




书目名称Contributions to Nonlinear Analysis网络公开度学科排名




书目名称Contributions to Nonlinear Analysis被引频次




书目名称Contributions to Nonlinear Analysis被引频次学科排名




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,Dünne Schichten in der Displaytechnik,the authors Cavalcanti, Domingos Cavalcanti and Martinez [.] and complements the work of Vitillaro [.]. It is important to mention that in [.] no decay result is proved and the dissipative term on the boundary is of a preassigned polynomial growth at the origin.
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Definitive
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Hyperplasia
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让空气进入
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Multiparameter Elliptic Equations in Annular Domains,ilinear elliptic equations in bounded annular domains with non-homogeneous Dirichlet boundary conditions. More precisely, we apply our main results to equations of the form ., where . and . are non-negative parameters. One feature of the hypotheses on the nonlinearities that we consider is that they have some sort of local character.
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https://doi.org/10.1007/978-3-642-58008-6 a unique continuation question. In [.] the case where the damping is linear was solved. In this article we address the general case and obtain explicit rates of decay that depend on the growth of the dissipative term near zero and infinity.
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https://doi.org/10.1007/978-3-642-58008-6localized damping term. Following the methods in [.], which combines energy estimates, multipliers and compactness arguments the problem is reduced to a unique continuation question. In [.] the case where the damping is linear was solved. In this article we address the general case and obtain explic
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