Title

The Energy-Critical Nonlinear Wave Equation with an Inverse-Square Potential

Abstract

We study the energy-critical nonlinear wave equation in the presence of an inverse-square potential in dimensions three and four. In the defocussing case, we prove that arbitrary initial data in the energy space lead to global solutions that scatter. In the focusing case, we prove scattering below the ground state threshold.

Department(s)

Mathematics and Statistics

Comments

Article in Press

Keywords and Phrases

Energy-Critical; Ground State Threshold; Inverse-Square Potential; Nonlinear Wave Equation; Scattering

International Standard Serial Number (ISSN)

0294-1449

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 Elsevier Masson SAS, All rights reserved.

Publication Date

01 Oct 2019

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