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Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type. (English) Zbl 1098.35116
Summary: In this work two non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type are considered. Unique solvability of these problems is proven. The uniqueness of the solution is proven by the method of energy integrals and the existence is proven by the method of integral equations.
MSC:
35M10PDE of mixed type
35P05General topics in linear spectral theory of PDE
35A05General existence and uniqueness theorems (PDE) (MSC2000)