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2003, ISBN: 9780821833995
ID: 6416356
The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, particularly because of its applications to nonlinear optics. It is also a good model dispersive equation, since it is often technically simpler than other dispersive equations, such as the wave or the Korteweg-de Vries equation. From the mathematical point of view, Schrodinger's equation is a. The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, particularly because of its applications to nonlinear optics. It is also a good model dispersive equation, since it is often technically simpler than other dispersive equations, such as the wave or the Korteweg-de Vries equation. From the mathematical point of view, Schrodinger's equation is a delicate problem, possessing a mixture of the properties of parabolic and elliptic equations. Useful tools in studying the nonlinear Schrodinger equation are energy and Strichartz's estimates. This book presents various mathematical aspects of the nonlinear Schrodinger equation. It studies both problems of local nature (local existence of solutions, uniqueness, regularity, smoothing effect) and problems of global nature (finite-time blowup, global existence, asymptotic behavior of solutions). In principle, the methods presented apply to a large class of dispersive semilinear equations. The first chapter recalls basic notions of functional analysis (Fourier transform, Sobolev spaces, etc). Otherwise, the book is mostly self-contained. It is suitable for graduate students and research mathematicians interested in nonlinear partial differential equations and applications to mathematical physics. Books, Science and Geography~~Mathematics, Semilinear Schrodinger Equations~~Book~~9780821833995~~Thierry Cazenave, , Semilinear Schrodinger Equations, Thierry Cazenave, 9780821833995, American Mathematical Society, 09/15/2003, , , , American Mathematical Society
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ISBN: 0821833995
[SR: 603657], Taschenbuch, [EAN: 9780821833995], Tut Enterprises Inc, Tut Enterprises Inc, Book, [PU: Tut Enterprises Inc], Tut Enterprises Inc, 56251011, Differentialgleichung, 56248011, Angewandte Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56396011, Wellen & Wellenmechanik, 56375011, Physik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher
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ISBN: 9780821833995
ID: 9780821833995
Semilinear Schrodinger Equations Semilinear-Schrodinger-Equations~~Thierry-Cazenave Science/Tech>Mathematics>Mathematics Paperback, American Mathematical Society
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2003, ISBN: 0821833995
ID: 18118822169
[EAN: 9780821833995], Neubuch, [PU: American Mathematical Society], Mathematics|Advanced, Mathematics|Differential Equations
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Title: | Semilinear Schrodinger Equations (Courant Lecture Notes) |
ISBN: | 0821833995 |
Details of the book - Semilinear Schrodinger Equations (Courant Lecture Notes)
EAN (ISBN-13): 9780821833995
ISBN (ISBN-10): 0821833995
Paperback
Publishing year: 2003
Publisher: American Mathematical Society
Book in our database since 31.05.2007 21:04:20
Book found last time on 11.12.2016 22:49:30
ISBN/EAN: 0821833995
ISBN - alternate spelling:
0-8218-3399-5, 978-0-8218-3399-5
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