Well-Posedness of Dirichlet and Poincaré Problems in a Cylindrical Domain for Degenerate Multidimensional Hyperbolic Equations with Gellerstedt Operator

详细

We prove that the Dirichlet and Poincar´e problems for degenerate multidimensional hyperbolic equations with Gellerstedt operator in a cylindrical domain are uniquely solvable and establish a criterion of uniqueness for the regular solutions of these problems.