Existence of spherically symmetric global solution to the semi-linear wave equation \(u_{tt}-\Delta u=au^ 2_ t+b(\nabla u)^ 2\) in five space dimensions

DOI10.1215/KJM/1250521335zbMath0562.35058OpenAlexW1556372409WikidataQ114060337 ScholiaQ114060337MaRDI QIDQ1056830

Fumioki Asakura

Publication date: 1984

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521335

zbMATH Keywords

existenceCauchy problemspherical symmetrysmall dataglobal classical solutionssemi-linear wave equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

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