Nonlinear Dispersive Models

Name: Nonlinear Dispersive Models
Brand: VDM Verlag Dr. Müller
SKU: 9783639363821
Price: 1407 CZK
Availability: InStock

Well-posedness and Unique Continuation Property

Autor: Mahendra Panthee

Jazyk:

Vazba: Brožovaná

Vydavatel: VDM Verlag Dr. Müller

Dostupnost: U nakladatele na objednávku

Odesíláme za 17-27 dnů

1 407 Kč

Nonlinear evolution equations of dispersive type is a very active field of research and study in rec...

Informace o knize

Autor

Mahendra Panthee

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2013

Stránek

144

EAN

9783639363821

Enbook ID

02207720

Vydavatel

VDM Verlag Dr. Müller

Hmotnost

231

Rozměry

150 x 220 x 9

Kompletní popis

Nonlinear evolution equations of dispersive type is a very active field of research and study in recent times. The Korteweg-de Vries and nonlinear Schrödinger equations are the prominent examples that fall in this class of equations. We study the local and global well-posedness issues of the initial value problem (IVP) associated to the coupled system of dispersive equations with low regularity data. Fourier transform restriction norm space techniques and the recently introduced high-low frequency splitting and the I-method are the main tools to achieve our objectives. We also consider some bi- dimensional generalizations of the Korteweg-de Vries equation, viz. Zakharov-Kuznetsov equation and Kadomtsev-Petviashvili equation and address the unique continuation property for these models. We follow a complex analysis technique introduced by Bourgain and prove that if a sufficiently smooth solution to the associated IVP is supported in a non- trivial time interval then it vanishes identically.

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Nonlinear Dispersive Models

Well-posedness and Unique Continuation Property

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také