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

M. Nakamura, Tohru Ozawa

Research output: Contribution to journalArticle

12 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 languageEnglish
Pages (from-to)215-231
Number of pages17
JournalDiscrete and Continuous Dynamical Systems
Volume5
Issue number1
Publication statusPublished - 1999 Jan
Externally publishedYes

Fingerprint

Sobolev spaces
Exponential Type
Nonlinear Wave Equation
Wave equations
Sobolev Spaces
Solvability
Cauchy Problem
Term

Keywords

  • Critical nonlinearity
  • Local Cauchy problem
  • Nonlinear wave equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

The Cauchy problem for nonlinear wave equations in the sobolev space of critical order. / Nakamura, M.; Ozawa, Tohru.

In: Discrete and Continuous Dynamical Systems, Vol. 5, No. 1, 01.1999, p. 215-231.

Research output: Contribution to journalArticle

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