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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1995 Volume 186, Number 5, Pages 103–114 (Mi sm39)

This article is cited in 22 papers

On strong precompactness of bounded sets of measure-valued solutions of a first order quasilinear equation

E. Yu. Panov

Novgorod State University after Yaroslav the Wise

Abstract: In this article it is proved that bounded sequences of measure-valued solutions of a non-degenerate first order quasilinear equation are precompact in the topology of strong convergence. The general case of flow functions which are merely continuous is considered.

UDC: 517.95

MSC: 35R20, 35F20, 35D99

Received: 05.04.1994


 English version:
Sbornik: Mathematics, 1995, 186:5, 729–740

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