Nonlinear Dispersive Models

Name: Nonlinear Dispersive Models
Brand: VDM Verlag Dr. Müller
SKU: 9783639363821
Price: 304.48 RON
Availability: InStock

Well-posedness and Unique Continuation Property

Autor: Mahendra Panthee

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Legare: Carte broșată

Editura: VDM Verlag Dr. Müller

Disponibilitate: La editor doar la comandă

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304.48 lei

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

Informații despre carte

Autor

Mahendra Panthee

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2013

Pagini

144

EAN

9783639363821

Enbook ID

02207720

Editura

VDM Verlag Dr. Müller

Greutate

231

Dimensiuni

150 x 220 x 9

Descriere completă

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

Informații despre carte

Descriere completă

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