Geodesic
Energy estimate for wave equations with coefficients in some Besov type class
Electronic journal of differential equations, Tome 2007 (2007)
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.
Classification : 35L05, 16D10
Keywords: wave equation, energy estimate, non regular coefficients 
@article{EJDE_2007__2007__a16,
     author = {Tarama,  Shigeo},
     title = {Energy estimate for wave equations with coefficients in some {Besov} type class},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1137.35319},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a16/}
}
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%A Tarama,  Shigeo
%T Energy estimate for wave equations with coefficients in some Besov type class
%J Electronic journal of differential equations
%D 2007
%V 2007
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a16/
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%F EJDE_2007__2007__a16
Tarama,  Shigeo. Energy estimate for wave equations with coefficients in some Besov type class. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a16/