Titlebook: Analysis and Applications - ISAAC 2001; Heinrich G. W. Begehr,Robert P. Gilbert,Man Wah Wo Book 2003 Springer Science+Business Media Dordr

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,Exponential Time Decay Solutions of Schr?dinger Equations and of Wave Equations in Even DimensionalWe investigate the sufficient conditions on the initial data in order that the solutions of the Cauchy problem for Schr?dinger equations with some potentials and also for even dimentional wave equations decay exponentially in time.

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Analysis and Applications - ISAAC 2001978-1-4757-3741-7Series ISSN 1388-4271

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Ramón Plo-Alastrué,Isabel Coronan [1], [2] and [3] for the Lie ball, the complex Euclidean ball and the dual Lie ball can be generalized for the ..-balls. In this note, following our paper [4], we consider analytic functions and analytic functionals on the ..-balls ., and characterize them by their growth behavior of their harmonic components in their double series expansion.

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Digital Scientific Communicationonal Riemann manifold (., .). The energy level for this problem is ..(Ω) × ..(Ω). The basic assumption made is the existence of a strictly convex function on Ω. Carleman estimates are also a critical springboard from which one may derive the . inequalities of continuous observability/uniform stabilization of interest in control theory of PDEs.

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Noelia Ruiz-Madrid,Julia Valeiras-Jurado for any lower order terms (strong hyperbolicity), or for which systems the Cauchy problem is .. well posed (hyperbolicity). We here present a survey of the subject, in particular focussing the interests on the necessary conditions for strong hyperbolicity or just hyperbolicity.

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