Existence and Uniqueness of Solutions for a Type of Generalized Zakharov System-Reference-Cited by-同舟云学术

Existence and Uniqueness of Solutions for a Type of Generalized Zakharov System

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Li Rui¹,Lin Xing¹,Ma Zongwei¹^ORCID,Zhang Jingjun¹^ORCID

Affiliation:

1. College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China

Abstract

We study the Cauchy problem for a type of generalized Zakharov system. With the help of energy conservation and approximate argument, we obtain global existence and uniqueness in Sobolev spaces for this system. Particularly, this result implies the existence of classical solution for this generalized Zakharov system.

Funder

National Science Foundation

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/193589.pdf

Reference22 articles.

1. Existence and smoothing effect of solutions for the Zakharov equations

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