In this paper, a global existence result of smooth solutions to the multidimen- sional nonisentropic hydrodynamic model for semiconductors is proved, under the assumption that the initial data is a perturbation of the stationary solutions for the thermal equilibrium state. The resulting evolutionary solutions converge to the stationary solutions in time asymptotically exponentially fast.

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acase@tulane.edu

Müntz polynomials arise from consideration of Müntz's Theorem, which is a beautiful generalization of Weierstrass's Theorem. We prove a new surprisingly simple representation for the Müntz orthogonal polynomials on the interval of orthogonality, and in particular obtain new formulas for some of the classical orthogonal polynomials (e.g. Legendre, Jacobi, Laguerre). This allows us to determine the strong asymptotics and endpoint limit asymptotics on the interval. The zero spacing behavior follows, as well as estimates for the smallest and largest zeros. This is the first time that such asymptotics have been obtained for general Müntz exponents. We also look at the asymptotic behavior outside the interval and the asymptotic properties of the associated Christoffel functions.

Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-10T17:19:34Z No. of bitstreams: 1 MISAELLE DO NASCIMENTO OLIVEIRA - DISSERTAÇÃO PPGMAT 2015..pdf: 1209511 bytes, checksum: 5d4b2e49f1d20c974e738f463c1e1165 (MD5) / Made available in DSpace on 2018-08-10T17:19:34Z (GMT). No. of bitstreams: 1 MISAELLE DO NASCIMENTO OLIVEIRA - DISSERTAÇÃO PPGMAT 2015..pdf: 1209511 bytes, checksum: 5d4b2e49f1d20c974e738f463c1e1165 (MD5) Previous issue date: 2015-08 / Capes / O estudo do comportamento assintótico de sistemas dissipativos é um campo de pesquisa em Equações Diferenciais Parciais-EDP. Existem na literatura várias técnicas para abordar o comportamento assintótico. Contudo, o objetivo deste trabalho é aplicar a técnica devido ao resultado obtido por Gearhart (ver Z. Liu e S. Zheng [21]) que consiste em explorar as propriedades dissipativas do semigrupo associado ao sistema. / The study of the asymptotic behavior of dissipative systems is an important part of the research of Partial Di erential Equations-PDE. Consequently, there are various methods to analize this one. The objective of this work is to apply the a result due to Gearhart (see Z. and S. Liu Zheng [21]) which consits in to explore the dissipation properties of the semigroups associated to dissipative systems.

Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-28T16:30:54Z No. of bitstreams: 1 arquivototal.pdf: 961000 bytes, checksum: 62b9f3f2643296d48f000031d3aa384a (MD5) / Approved for entry into archive by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2017-08-29T12:21:00Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 961000 bytes, checksum: 62b9f3f2643296d48f000031d3aa384a (MD5) / Made available in DSpace on 2017-08-29T12:21:00Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 961000 bytes, checksum: 62b9f3f2643296d48f000031d3aa384a (MD5) Previous issue date: 2014-07-18 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / We consider the semilinear wave equation utt􀀀 u+f(u)+a(x)ut = 0 in a bounded domain Q Rn+1, with su ciently regular boundary , subject the boundary condition u = 0. We investigate the existence, uniqueness and asymptotic behavior, when t 􀀀! 1, of solution, considering a 2 L1+ ( ) and f under some adequate conditions. / Consideramos a equa c~ao da onda semilinear utt 􀀀 u + f(u) + a(x)ut = 0 em um dom nio limitado Q Rn+1, com fronteira su cientemente regular , sujeita a condi c~ao de contorno u = 0. Investigamos a exist^encia, unicidade e comportamento assint otico, quando t 􀀀! 1, da solu c~ao, considerando a 2 L1+ ( ) e f sob algumas condi c~oes adequadas.

Orientador: Marcelo da Silva Montenegro / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Cientifica / Made available in DSpace on 2018-08-16T14:07:09Z (GMT). No. of bitstreams: 1 Melo_AlisonMarceloVanDerLaan_M.pdf: 595460 bytes, checksum: f3496cc25c882ea841e02b15bffe5256 (MD5) Previous issue date: 2010 / Resumo: Observação: O resumo, na íntegra poderá ser visualizado no texto completo da tese digital / Abstract: Note: The complete abstract is available with the full electronic digital thesis or dissertations / Mestrado / Matematica / Mestre em Matemática

京都大学 / 0048 / 新制・課程博士 / 博士(情報学) / 甲第19341号 / 情博第593号 / 新制||情||103(附属図書館) / 32343 / 京都大学大学院情報学研究科数理工学専攻 / (主査)教授 中村 佳正, 教授 矢ｹ崎 一幸, 教授 西村 直志 / 学位規則第4条第1項該当 / Doctor of Informatics / Kyoto University / DFAM

京都大学 / 0048 / 新制・課程博士 / 博士(情報学) / 甲第20739号 / 情博第653号 / 新制||情||113(附属図書館) / 京都大学大学院情報学研究科数理工学専攻 / (主査)教授 中村 佳正, 教授 山下 信雄, 教授 西村 直志 / 学位規則第4条第1項該当 / Doctor of Informatics / Kyoto University / DFAM