Scattering For Defocusing Energy Subcritical Nonlinear Wave Equations

Author

Benjamin Dodson
Andrew Lawrie
D. Mendelson
Jason Murphy, Missouri University of Science and TechnologyFollow

Abstract

We consider the Cauchy problem for the defocusing power-type nonlinear wave equation in (1 + 3)-dimensions for energy subcritical powers p in the superconformal range 3 < p < 5. We prove thatCany 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.

Recommended Citation

B. Dodson et al., "Scattering For Defocusing Energy Subcritical Nonlinear Wave Equations," Analysis and PDE, vol. 13, no. 7, pp. 1995 - 2090, Mathematical Sciences Publishers (MSP), Jan 2020.

The definitive version is available at https://doi.org/10.2140/apde.2020.13.1995

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant DMS-1400706

Keywords and Phrases

nonlinear waves; scattering

International Standard Serial Number (ISSN)

2157-5045; 1948-206X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 The Authors, All rights reserved.

Publication Date

01 Jan 2020