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Global regularity for
the nonlinear wave equation with slightly supercritical
power
Maria Colombo and Silja Haffter |
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Vol. 16 (2023), No. 3, 613–642
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Abstract |
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We consider the defocusing nonlinear wave equation in . We prove that for any initial datum with a scaling-subcritical norm bounded by the equation is globally well-posed for , where . |
Keywords
nonlinear wave equation, global regularity, supercritical
equation
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Mathematical Subject Classification 2010
Primary: 35B65, 35L15, 35L70
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Milestones
Received: 3 December 2019
Revised: 30 July 2021
Accepted: 6 October 2021
Published: 25 May 2023
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Authors |
| Maria Colombo | |
| EPFL School of Basic Sciences Lausanne Switzerland |
Institute for Advanced Study Princeton, NJ United States |
| Silja Haffter | |
| EPFL School of Basic Sciences Lausanne Switzerland |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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