# American Institute of Mathematical Sciences

January  1999, 5(1): 215-231. doi: 10.3934/dcds.1999.5.215

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

 1 Department of Mathematics, Hokkaido University Sapporo 060-0810, Japan 2 Department of Mathematics, Hokkaido University, Sapporo 060-0810

Received  May 1997 Revised  February 1998 Published  October 1998

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.
Citation: M. Nakamura, Tohru Ozawa. The Cauchy problem for nonlinear wave equations in the Sobolev space of critical order. Discrete & Continuous Dynamical Systems, 1999, 5 (1) : 215-231. doi: 10.3934/dcds.1999.5.215
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