Nonlinear Dispersive Models

Name: Nonlinear Dispersive Models
Brand: VDM Verlag Dr. Müller
SKU: 9783639363821
Price: 61.23 EUR
Availability: InStock

Well-posedness and Unique Continuation Property

Автор: Mahendra Panthee

Език:

Корици: С меки корици

Издател: VDM Verlag Dr. Müller

Наличност: Налично при издателя, по поръчка

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61.23 € 119.75 лв

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

Информация за книгата

Автор

Mahendra Panthee

Език

Английски език

Корици

Книга - С меки корици

Издадена

2013

страници

144

EAN

9783639363821

Enbook ID

02207720

Издател

VDM Verlag Dr. Müller

Теглоt

231

Размери

150 x 220 x 9

Пълно описание

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

Информация за книгата

Пълно описание

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Клиенти, които купиха тази книга, купиха също