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Klein-Gordon models with non-effective time-dependent potentialNascimento, Wanderley Nunes do 19 February 2016 (has links)
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Previous issue date: 2016-02-19 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / In this thesis we study the asymptotic properties for the solution of the Cauchy
problem for the Klein-Gordon equation with non-effective time-dependent potential.
The main goal was define a suitable energy related to the Cauchy problem and derive
decay estimates for such energy. Strichartz’ estimates and results of scattering and
modified scattering was established. The C m theory and the stabilization condition
was applied to treat the case where the coefficient of the potential term has very fast
oscillations. Moreover, we consider a semi-linear wave model scale-invariant time-
dependent with mass and dissipation, in this step we used linear estimates related
with the semi-linear model to prove global existence (in time) of energy solutions for
small data and we show a blow-up result for a suitable choice of the coefficients. / Nesta tese estudamos as propriedades assintóticas para a solução do problema
de Cauchy para a equação de Klein-Gordon com potencial não efetivo dependente
do tempo. O principal objetivo foi definir uma energia adequada relacionada ao
problema de Cauchy e derivar estimativas para tal energia. Estimativas de Strichartz
e resultados de scatering e scatering modificados também foram estabelecidos. A
teoria C m e a condição de estabilização foram aplicados para tratar o caso em que
o coeficiente da massa oscila muito rápido. Além disso, consideramos um mod-
elo de onda semi-linear scale-invariante com massa e dissipação dependentes do
tempo, nesta etapa usamos as estimativas lineares de tal modelo para provar ex-
istência global (no tempo) de solução de energia para dados iniciais suficientemente
pequenos e demonstramos um resultado de blow-up para uma escolha adequada
dos coeficientes.
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III-Nitride Transistors for High Linearity RF ApplicationsSohel, Md Shahadat Hasan January 2020 (has links)
No description available.
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