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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2002 Issue 1, Pages 24–33 (Mi uzeru550)

Mathematics

Boundary problems for high order degenerate quasilinear equations

A. V. Tsutsulyan

Yerevan State University

Abstract: In this paper we consider boundary problems for high order quasilinear evolution equations, that are degenerate on boundary in two directions with different weights. It is proved that there exists a solution in special weighted functional spaces and the solution is unique.

Keywords: Weighted functional spaces, boundary problems.

UDC: 517.95

Received: 02.10.2001
Accepted: 20.03.2002



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