Initial-boundary value problem for second order hyperbolic operator with mixed boundary condition
Résumé
We deal with a linear hyperbolic differential operator of the second order on a bounded planar domain with a smooth boundary. We establish a well-posedness result in case where a mixed, Dirichlet-Neumann, boundary condition is prescribed on the boundary. We focus on the case of a nonhomogeneous Dirichlet data and a homogeneous Neumann one.
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