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Zbl 1098.35116
Berdyshev, A.S.; Karimov, E.T.
Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type. (English)
[J] Cent. Eur. J. Math. 4, No. 2, 183-193 (2006). ISSN 1895-1074; ISSN 1644-3616/e

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 2000:: *35M10 PDE of mixed type
35P05 General spectral theory of PDE
35A05 General existence and uniqueness theorems (PDE)

Keywords: unique solvability; method of energy integrals

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