In this paper, we obtain an energy estimate for wave equations with coefficients satisfying Besov type conditions. We give an example of a wave equation with continuous and nowhere differentiable coefficients for which the $L^2$ estimate holds.
Submitted February 14, 2007. Published June 6, 2007.
Math Subject Classifications: 35L05, 16D10.
Key Words: Wave equation; energy estimate; non regular coefficients.
Show me the PDF file (255K), TEX file, and other files for this article.
| Shigeo Tarama |
Lab. of Applied Mathematics, Graduate School of Engineering
Osaka City University, Osaka 558-8585, Japan
Return to the EJDE web page