Global Existence for a Quasilinear Wave
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Markus Keel; Hart F. Smith; Christopher D. Sogge
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Article
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2002
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Elsevier Science
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English
β 399 KB
We prove global existence of small-amplitude solutions of quasilinear Dirichletwave equations outside of star-shaped obstacles in (3+1)-dimensions. We use a variation of the conformal method of Christodoulou. Since the image of the spacetime obstacle is not static in the Einstein diamond, our result