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On transport equations driven by a non-divergence-free force field

✍ Scribed by L. Arlotti; J. Banasiak; B. Lods

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 208 KB
Volume: 30
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.817

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✦ Synopsis

Abstract

The paper is devoted to initial boundary value problems for transport equations with non‐divergence‐free external field. The crucial role is played by integration along characteristics and associated Green's formula for which we provide a new proof which generalizes and clarifies previous versions. The paper concludes with an application of general theory to the Spencer–Lewis equation. Copyright © 2007 John Wiley & Sons, Ltd.

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