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Global Solutions for a Semilinear, Two-Dimensional Klein-Gordon Equation with Exponential-Type Nonlinearity,

Ibrahim Slim, Majdoub Mohamed, Masmoudi Nader, 2006

Communications on Pure and Applied Mathematics, 59, 11, 1639-1658, Novembre 2006

Résumé

We prove the existence and uniqueness of global solutions for a Cauchy problem

associated to a semilinear Klein-Gordon equation in two space dimensions. Our

result is based on an interpolation estimate with a sharp constant obtained by a

standard variational method.

We prove the existence and uniqueness of global solutions for a Cauchy problemassociated to a semilinear Klein-Gordon equation in two space dimensions. Our result is based on an interpolation estimate with a sharp constant obtained by a standard variational method.

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