Effets régularisants et existence locale pour les équations non-linéaires de Schrödinger et des plaques à coefficients variables

Effets régularisants et existence locale pour les équations non-linéaires de Schrödinger et des plaques à coefficients variables PDF Author: Laurent T'Joen
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0

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Effets régularisants et existence locale pour l'équation de Schrödinger non-linéaire à coefficients variables

Effets régularisants et existence locale pour l'équation de Schrödinger non-linéaire à coefficients variables PDF Author: Laurent Tjoen
Publisher:
ISBN:
Category :
Languages : fr
Pages : 32

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DEA : Mathématiques et applications 1999

DEA : Mathématiques et applications 1999 PDF Author: Khemsani
Publisher:
ISBN:
Category :
Languages : fr
Pages : 82

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Nonlinear Dispersive Equations

Nonlinear Dispersive Equations PDF Author: Jaime Angulo Pava
Publisher: American Mathematical Soc.
ISBN: 0821848976
Category : Mathematics
Languages : en
Pages : 272

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Book Description
This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete examples, and applications are emphasized throughout in order to make the material easily accessible. The list of classical nonlinear dispersive equations studied include Korteweg-de Vries, Benjamin-Ono, and Schrodinger equations. Many special Jacobian elliptic functions play a role in these examples. The author brings the reader to the forefront of knowledge about some aspects of the theory and motivates future developments in this fascinating and rapidly growing field. The book can be used as an instructive study guide as well as a reference by students and mature scientists interested in nonlinear wave phenomena.