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Cauchy-Dirichlet problem for second-order hyperbolic equations in cylinders with non-smooth base. (English) Zbl 1151.35317
Summary: This paper is concerned with the smoothness of generalized solutions of the Cauchy-Dirichlet problem for the second-order hyperbolic equation in domains with a conical point.
MSC:
35B65Smoothness and regularity of solutions of PDE
35L05Wave equation (hyperbolic PDE)
35L15Second order hyperbolic equations, initial value problems
35L20Second order hyperbolic equations, boundary value problems