ENERGY ESTIMATE FOR WAVE EQUATIONS WITH COEFFICIENTS IN SOME BESOV TYPE CLASS

Shigeo Tarama

DOAJ (DOAJ: Directory of Open Access Journals) · 2007 · 15 citations · 3 references

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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.

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