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.
Title
On large future-global-in-time solutions to energy-supercritical nonlinear wave equation
Published in
Nonlinear Dispersive Waves And Fluids
Series
Contemporary Mathematics, 725
Pages
187-214
Conference
AMS-MAA Joint Mathematics Meeting on Spectral Calculus and Quasilinear Partial Differential Equations, and PDE Analysis on Fluid Flows, Jan 04-07, 2017, Atlanta, GA
Date
2019-01-01
Publisher
Providence, AMER MATHEMATICAL SOC
ISSN
0271-4132
1098-3627
ISBN
978-1-4704-4109-8
Record creation date
2019-07-17