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• W3159159643 abstract "We consider finite-energy solutions to the defocusing nonlinear wave equation in two dimensional space. We prove that almost all energy moves to the infinity at almost the light speed as time tends to infinity. In addition, the inward/outward part of energy gradually vanishes as time tends to positive/negative infinity. These behaviours resemble those of free waves. We also prove some decay estimates of the solutions if the initial data decay at a certain rate as the spatial variable tends to infinity. As an application, we prove a couple of scattering results for solutions whose initial data are in a weighted energy space. Our assumption on decay rate of initial data is weaker than previous known scattering results." @default.
• W3159159643 created "2021-05-10" @default.
• W3159159643 creator A5067837344 @default.
• W3159159643 creator A5084151289 @default.
• W3159159643 date "2021-04-27" @default.
• W3159159643 modified "2023-09-27" @default.
• W3159159643 title "Energy distribution of solutions to defocusing semi-linear wave equation in higher dimensional space" @default.
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• W3159159643 hasPublicationYear "2021" @default.
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