Electron. J. Diff. Eqns., Vol. 2007(2007), No. 85, pp. 1-12.

Energy estimate for wave equations with coefficients in some Besov type class

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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