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Dispersive Equations and Nonlinear Waves: Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps (Oberwolfach Seminars)
Koch, Herbert, Tataru, Daniel, Visan, Monica
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Description for Dispersive Equations and Nonlinear Waves: Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps (Oberwolfach Seminars)
Paperback. Dispersive Equations and Nonlinear Waves Series: Oberwolfach Seminars. Num Pages: 312 pages, 1 black & white illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 171 x 240 x 17. Weight in Grams: 558.
The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schrödinger equation, global solutions to the defocusing problem, and scattering are the focus of the second part. Using this concrete example, it walks the reader through the induction on energy technique, which has become the essential methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, ... Read more
The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schrödinger equation, global solutions to the defocusing problem, and scattering are the focus of the second part. Using this concrete example, it walks the reader through the induction on energy technique, which has become the essential methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
Birkhäuser
Condition
New
Series
Oberwolfach Seminars
Number of Pages
312
Place of Publication
Basel, Switzerland
ISBN
9783034807357
SKU
V9783034807357
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Koch, Herbert, Tataru, Daniel, Visan, Monica
Herbert Koch has been a professor at the University of Bonn, Germany since 2006, Daniel Tataru at the University of California in Berkeley, USA, since 2001 and Monica Vişan is an associate professor at UCLA, USA.
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