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Titlebook: Studies in Phase Space Analysis with Applications to PDEs; Massimo Cicognani,Ferruccio Colombini,Daniele Del Book 2013 Springer Science+B

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书目名称Studies in Phase Space Analysis with Applications to PDEs
编辑Massimo Cicognani,Ferruccio Colombini,Daniele Del
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概述Provides both surveys and recent advances in phase space analysis for PDEs.Distinguished mathematicians address current work of importance.Encompasses applications to a wide range of areas in mathemat
丛书名称Progress in Nonlinear Differential Equations and Their Applications
图书封面Titlebook: Studies in Phase Space Analysis with Applications to PDEs;  Massimo Cicognani,Ferruccio Colombini,Daniele Del  Book 2013 Springer Science+B
描述.This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of PDEs. Their role in many applications to physics, including quantum and spectral theory, is equally important..Key topics addressed in this volume include:.*general theory of pseudodifferential operators.*Hardy-type inequalities.*linear and non-linear hyperbolic equations and systems.*Schrödinger equations.*water-wave equations.*Euler-Poisson systems.*Navier-Stokes equations.*heat and parabolic equations.Various levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource..Contributors.T. Alazard                                P.I. Naumkin.J.-M. Bony                              F. Nicola .N. Burq                                   T. Nishitani.C. Cazacu                                T. Okaji.J.-Y. Chemin                     
出版日期Book 2013
关键词Fourier integral operators; Navier-Stokes and Euler systems; Schrodinger equations; hyperbolic equation
版次1
doihttps://doi.org/10.1007/978-1-4614-6348-1
isbn_softcover978-1-4899-9940-5
isbn_ebook978-1-4614-6348-1Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightSpringer Science+Business Media New York 2013
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,Cauchy Problem for Some 2 × 2 Hyperbolic Systems of Pseudo-differential Equations with NondiagonaliWe investigate the well-posedness of the Cauchy problem for some first-order linear hyperbolic systems having nondiagonalisable principal parts.
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On the Problem of Positivity of Pseudodifferential Systems,I will give here in the first place a survey of the problem of positivity estimates for systems of ψdos, such as the Sharp-Gårding and the Fefferman–Phong inequalities. Next, I will generalize Fujiwara’s construction of the approximate positive/negative part of a first-order scalar ψdo to certain 2 ×2 systems of first-order ψdos.
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Massimo Cicognani,Ferruccio Colombini,Daniele Del Provides both surveys and recent advances in phase space analysis for PDEs.Distinguished mathematicians address current work of importance.Encompasses applications to a wide range of areas in mathemat
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978-1-4899-9940-5Springer Science+Business Media New York 2013
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