On large future-global-in-time solutions to energy-supercritical nonlinear wave equation

In a recent work we constructed future-global-in-time large solution to the Cauchy problem for semi-linear wave equation on R3+1 with nonlinear terms satisfying the null conditions. In this article we show that the method also applies to energy-supercritical nonlinear wave equation with power type nonlinearity. In addition to constructing a large global-in-time solution, we also show that the solution constructed decays to zero as t ->infinity.


Published in:
Nonlinear Dispersive Waves And Fluids, 725, 187-214
Presented at:
AMS-MAA Joint Mathematics Meeting on Spectral Calculus and Quasilinear Partial Differential Equations, and PDE Analysis on Fluid Flows, Atlanta, GA, Jan 04-07, 2017
Year:
Jan 01 2019
Publisher:
Providence, AMER MATHEMATICAL SOC
ISSN:
0271-4132
1098-3627
ISBN:
978-1-4704-4109-8
Keywords:
Laboratories:




 Record created 2019-07-17, last modified 2019-08-30


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