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

Yokoyama, K.

Hokkaido University Preprint Series in Mathematics, 1998, 405, 1-25

Permalink : https://doi.org/10.14943/83551

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DOI	https://doi.org/10.14943/83551
URI	https://hdl.handle.net/2115/69155
タイトル	Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions
著者	著者名 Yokoyama, K.
言語	英語
発行日	1998-02-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	405
ページ	1-25
抄録	We discuss the existence of a global small solution to the Cauchy problem for a system of quasilinear wave equations in three space dimensions, when its nonlinear term have a critical exponent. Global existence is established on the null condition which is extended to the condition for systems of wave equations with different propagation speeds.
資源タイプ	紀要論文
出版タイプ	Version of Record