Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions

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概要

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• We discuss the global existence of small solutions to the Cauchy problem for systems of quasilinear wave equations in three space dimensions, when their nonlinear terms have quadratic nonlinearity. A global existence theorem is established on the null condition which is extended to the condition for systems of wave equations with different propagation speeds.

• 社団法人 日本数学会の論文

著者

• Yokoyama Kazuyoshi

  Department Of Mathematics Hokkaido University

関連論文

• Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions

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