The Cauchy problem for nonlinear wave equations in the sobolev space of critical order

M. Nakamura; T. Ozawa

doi:10.3934/dcds.1999.5.215

The Cauchy problem for nonlinear wave equations in the sobolev space of critical order

M. Nakamura^*, T. Ozawa

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We show the local in time solvability of the Cauchy problem for nonlinear wave equations in the Sobolev space of critical order with nonlinear term of exponential type.

Original language	English
Pages (from-to)	215-231
Number of pages	17
Journal	Discrete and Continuous Dynamical Systems
Volume	5
Issue number	1
DOIs	https://doi.org/10.3934/dcds.1999.5.215
Publication status	Published - 1999 Jan
Externally published	Yes

Keywords

Critical nonlinearity
Local Cauchy problem
Nonlinear wave equation

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.1999.5.215

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title = "The Cauchy problem for nonlinear wave equations in the sobolev space of critical order",

abstract = "We show the local in time solvability of the Cauchy problem for nonlinear wave equations in the Sobolev space of critical order with nonlinear term of exponential type.",

keywords = "Critical nonlinearity, Local Cauchy problem, Nonlinear wave equation",

author = "M. Nakamura and T. Ozawa",

year = "1999",

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doi = "10.3934/dcds.1999.5.215",

language = "English",

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KW - Critical nonlinearity

KW - Local Cauchy problem

KW - Nonlinear wave equation

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The Cauchy problem for nonlinear wave equations in the sobolev space of critical order

Abstract

Keywords

ASJC Scopus subject areas

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