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The propagation of nonstationary filtration with absorption

The propagation of nonstationary filtration with absorption We point out a mistake in [1] in the proof of infinite propagation of the weak solution of Cauchy problem for the equationu t =(A(u)) xx - φ(u). A more natural condition is given and the infinite propagation property for boundary value problem is studied. Finally, we discuss the supports of the weak solutions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The propagation of nonstationary filtration with absorption

Acta Mathematicae Applicatae Sinica , Volume 3 (4) – Jul 13, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1987 by Science Press, Beijing, China and Allerton Press, Inc. New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02008372
Publisher site
See Article on Publisher Site

Abstract

We point out a mistake in [1] in the proof of infinite propagation of the weak solution of Cauchy problem for the equationu t =(A(u)) xx - φ(u). A more natural condition is given and the infinite propagation property for boundary value problem is studied. Finally, we discuss the supports of the weak solutions.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

References