Geodesic
Dissipativity of boundary condition in a mixed problem for the three-dimensional wave equation
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 311-323

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We consider a mixed problem for the real three-dimensional wave equation satisfying the uniform Lopatinskii condition. We describe all feasible ways of reduction of the problem to the mixed problem for the symmetric hyperbolic system with the dissipative boundary condition. These ways are parametrized by points of the upper part of a four-dimensional bodily cone of the second order. We characterize the cone location and its geometric parameters by means of the coefficients of the boundary condition in the problem under consideration.
Keywords: wave equation, mixed problem, symmetric hyperbolic system, dissipative boundary condition. 
@article{SEMR_2013_10_a47,
     author = {V. M. Gordienko},
     title = {Dissipativity of boundary condition in a mixed problem for the three-dimensional wave equation},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {311--323},
     publisher = {mathdoc},
     volume = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a47/}
}
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V. M. Gordienko. Dissipativity of boundary condition in a mixed problem for the three-dimensional wave equation. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 311-323. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a47/