Japanese journal of mathematics. New series
Online ISSN : 1861-3624
Print ISSN : 0289-2316
Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition
Jason METCALFEMakoto NAKAMURAChristopher D. SOGGE
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ジャーナル フリー

2005 年 31 巻 2 号 p. 391-472

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抄録
We prove global existence of solutions to multiple speed, Dirichlet-wave equations with quadratic nonlinearities satisfying the null condition in the exterior of compact obstacles. This extends the result of our previous paper by allowing general higher order terms. In the currect setting, these terms are much more difficult to handle than for the free wave equation, and we do so using an analog of a pointwise estimate due to Kubota and Yokoyama.
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© The Mathematical Society of Japan
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