Shigeo Tarama
Abstract:
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.
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| Shigeo Tarama Lab. of Applied Mathematics, Graduate School of Engineering Osaka City University, Osaka 558-8585, Japan email: starama@mech.eng.osaka-cu.ac.jp |
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