Weighted Decay Estimates for the Wave Equation with Radially Symmetric Data
Abstract
We study the homogeneous wave equation with radially symmetric data in four or higher space dimensions. Using some new integral representations for the Riemann operator, we establish weighted decay estimates for the solution.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- March 2005
- DOI:
- arXiv:
- arXiv:math/0503744
- Bibcode:
- 2005math......3744K
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 35B45;
- 35C15;
- 35L05;
- 35L15
- E-Print:
- 27 pages