Global existence for semilinear wave equations with scaling invariant damping in 3-D
Analysis of PDEs
2021-02-02 v1
Abstract
Global existence for small data Cauchy problem of semilinear wave equations with scaling invariant damping in 3-D is established in this work, assuming that the data are radial and the constant in front of the damping belongs to . The proof is based on a weighted estimate for inhomogeneous wave equation, which is established by interpolating between energy estimate and Morawetz type estimate.
Keywords
Cite
@article{arxiv.2102.00909,
title = {Global existence for semilinear wave equations with scaling invariant damping in 3-D},
author = {Ning-An Lai and Yi Zhou},
journal= {arXiv preprint arXiv:2102.00909},
year = {2021}
}