This article is cited in 19 papers

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

E. Yu. Panov

Novgorod State University after Yaroslav the Wise

Abstract: Sequences of measure-valued solutions of a non-degenerate quasilinear equation of the first order are shown to be strongly precompact in the general case, when the flow functions contain independent variables and are merely continuous.

UDC: 517.95

MSC: Primary 35F20, 35B30; Secondary 35D99

Received: 24.12.1997

DOI: 10.4213/sm395

 English version: Sbornik: Mathematics, 1999, 190:3, 427–446

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