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Scattering for
defocusing energy subcritical nonlinear wave equations
Benjamin Dodson, Andrew Lawrie, Dana Mendelson and Jason Murphy |
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Vol. 13 (2020), No. 7, 1995–2090
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Abstract |
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We consider the Cauchy problem for the defocusing power-type nonlinear wave equation in -dimensions for energy subcritical powers in the superconformal range . We prove that any solution is global-in-time and scatters to free waves in both time directions as long as its critical Sobolev norm stays bounded on the maximal interval of existence. |
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Keywords
nonlinear waves, scattering
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Mathematical Subject Classification 2010
Primary: 35L71
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Milestones
Received: 16 October 2018
Accepted: 6 September 2019
Published: 10 November 2020
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Authors |
| Benjamin Dodson | |
| Department of Mathematics Johns Hopkins University Baltimore, MD United States |
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| Andrew Lawrie | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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| Dana Mendelson | |
| Department of Mathematics University of Chicago Chicago, IL United States |
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| Jason Murphy | |
| Department of Mathematics and
Statistics Missouri University of Science and Technology Rolla, MO United States |
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