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An analog of the Tricomi problem with a nonlocal integral conjugate condition. (English. Russian original) Zbl 1298.35124
Russ. Math. 53, No. 4, 49-53 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 4, 61-66 (2009).
Summary: We prove the unique solvability of an analog of the Tricomi problem for an elliptic-hyperbolic equation with a nonlocal integral conjugate condition on the characteristic line.

35M12 Boundary value problems for PDEs of mixed type
Full Text: DOI
[1] V. F. Volkodavov and O. Yu. Naumov, ”Problem T for a Mixed-Type Equation with Special Conjugate Conditions,” in Nonclassical Equations of Mathematical Physics (Inst. Matem. SO RAN, Novosibirsk, 2002), pp. 41–49. · Zbl 1015.35081
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