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The Volterra Property of Some Problems with the Bitsadze-Samarskii-Type Conditions for a Mixed Parabolic-Hyperbolic Equation
Authors:A. S. Berdyshev
Affiliation:(1) Institute of Mathematics, Tashkent, Uzbekistan
Abstract:We consider problems with the Bitsadze-Samarskii-type conditions for a mixed parabolic-hyperbolic equation with noncharacteristic type change curve. We prove theorems on the unique existence of regular and strong solutions and the Volterra property for the problems under consideration.Original Russian Text Copyright © 2005 Berdyshev A. S.__________Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 3, pp. 500–510, May–June, 2005.
Keywords:parabolic-hyperbolic equation  Bitsadze-Samarskii problem  solvability  Volterra property
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