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

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书目名称Evolution Equations of Hyperbolic and Schrödinger Type
副标题Asymptotics, Estimat
编辑Michael Ruzhansky,Mitsuru Sugimoto,Jens Wirth
视频video
概述Overview of a variety of ongoing current research in the field of equations of hyperbolic and Schrödinger types Can serve as a quick introduction to different aspects of the theory of evolution partia
丛书名称Progress in Mathematics
图书封面Titlebook: Evolution Equations of Hyperbolic and Schrödinger 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
关键词Schrödinger 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
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,Time-Frequency Analysis of Schrödinger Propagators,lar, we focus on Schrödinger-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 Hölder 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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