An Initial Boundary Value Problem for the Zakharov Equation-Reference-Cited by-同舟云学术

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An Initial Boundary Value Problem for the Zakharov Equation

Published:2013-07-25 Issue: Volume:2013 Page:1-10
ISSN:2314-6524
Container-title:International Journal of Partial Differential Equations
language:en
Short-container-title:International Journal of Partial Differential Equations

Author:

Yang Quankang¹²,Bu Charles³^ORCID

Affiliation:

1. Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210008, China

2. Department of Mathematics, Nanjing Xiaozhuang College, Nanjing 210008, China

3. Department of Mathematics, Wellesley College, Wellesley, MA 02481, USA

Abstract

This paper studies an inhomogeneous initial boundary value problem for the one-dimensional Zakharov equation. Existence and uniqueness of the global strong solution are proved by Galerkin’s method and integral estimates.

Funder

Qing Lan

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2013/748761.pdf

Reference23 articles.

1. C 1 C2 interpolation of scattered data points

2. Wellposedness for Zakharov Systems with Generalized Nonlinearity

3. Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions

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