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

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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.

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Nakamura, M., & Ozawa, T. (1999). The Cauchy problem for nonlinear wave equations in the sobolev space of critical order. Discrete and Continuous Dynamical Systems, 5(1), 215–231. https://doi.org/10.3934/dcds.1999.5.215

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