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Initial-boundary value problems for degenerate hyperbolic equations

Initial-boundary value problems for degenerate hyperbolic equations

The aim of the paper is to study solvability in Sobolev spaces initialboundary value problems for dierential equationsin which A is an elliptic operator acting in the spatial variables x1,. . .,xn and ϕ(t) is a non-negative function on the segment [0, T ].Existence theorems of regular solutions are proven.Some …