Scattering for critical wave equations with variable coefficients
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Abstract We prove that solutions to the quintic semilinear wave equation with variable coefficients in ${{\mathbb {R}}}^{1+3}$ scatter to a solution to the corresponding linear wave equation. The coefficients are small and decay as $|x|\to \infty$ , but are allowed to be time dependent. The proof uses local energy decay estimates to establish the decay of the $L^{6}$ norm of the solution as $t\to \infty$ .
2005 ◽
Vol 306
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pp. 330-348
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2009 ◽
Vol 31
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pp. 59-70
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2011 ◽
Vol 62
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pp. 164-172
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2019 ◽
Vol 21
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pp. 705-760
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2006 ◽
Vol 268
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pp. 481-504
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2004 ◽
Vol 27
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pp. 1881-1892
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2013 ◽
Vol 92
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pp. 2288-2308
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2005 ◽
Vol 135
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pp. 393-412
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