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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2005 Volume 46, Number 3, Pages 500–510 (Mi smj982)

This article is cited in 12 papers

The volterra property of some problems with the Bitsadze–Samarskii-type conditions for a mixed parabolic-hyperbolic equation

A. S. Berdyshev

Romanovskii Mathematical Institute of the National Academy of Sciences of 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.

Keywords: parabolic-hyperbolic equation, Bitsadze–Samarskii problem, solvability, Volterra property.

UDC: 517.95

Received: 19.05.2004


 English version:
Siberian Mathematical Journal, 2005, 46:3, 386–395

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© Steklov Math. Inst. of RAS, 2025