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Titlebook: Evolution Equations of Hyperbolic and Schr?dinger Type; Asymptotics, Estimat Michael Ruzhansky,Mitsuru Sugimoto,Jens Wirth Book 2012 Spring

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書目名稱Evolution Equations of Hyperbolic and Schr?dinger Type
副標題Asymptotics, Estimat
編輯Michael Ruzhansky,Mitsuru Sugimoto,Jens Wirth
視頻videohttp://file.papertrans.cn/318/317649/317649.mp4
概述Overview of a variety of ongoing current research in the field of equations of hyperbolic and Schr?dinger types Can serve as a quick introduction to different aspects of the theory of evolution partia
叢書名稱Progress in Mathematics
圖書封面Titlebook: Evolution Equations of Hyperbolic and Schr?dinger Type; Asymptotics, Estimat Michael Ruzhansky,Mitsuru Sugimoto,Jens Wirth Book 2012 Spring
描述Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions? and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and, therefore, allows researchers as well as students to grasp new aspects and broaden their understanding of the area. ?
出版日期Book 2012
關鍵詞Schr?dinger equations; generalized functions; hyperbolic equations; partial differential equations; pseu
版次1
doihttps://doi.org/10.1007/978-3-0348-0454-7
isbn_softcover978-3-0348-0802-6
isbn_ebook978-3-0348-0454-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Basel 2012
The information of publication is updating

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,Time-Frequency Analysis of Schr?dinger Propagators,lar, we focus on Schr?dinger-type FIOs, showing that Gabor frames provide optimally sparse representations of such operators. Using Maple software, new numerical examples for the Harmonic Oscillator are provided.
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Geometric Regularization on Riemannian and Lorentzian Manifolds,erties of the original distributions (singular support, wavefront set, Sobolev regularity). The underlying regularization mechanism is based on functional calculus of elliptic operators with finite speed of propagation with respect to a complete Riemannian metric. As an application we consider the i
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Local in Space Energy Estimates for Second-order Hyperbolic Equations,the semilinear (weakly) hyperbolic equations with characteristics of multiplicity ..The main results are concerning two special classes of equations: the equations with coefficients depending only on time, and those in space dimension one. These results rely on suitable a priori estimates for the co
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0743-1643 ction to different aspects of the theory of evolution partiaEvolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributo
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Entrepreneurship in Technology for ASEANwhere a sharp scale of H?lder continuity, with respect to the time variable ., for the a.’s has been established..We show that, for ., a lack of regularity in t can be compensated by a decay as the space variable x .This is not true in the hyperbolic case . = 1 because of the finite speed of propagation.
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