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References (6)
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R. Kersner (1978)
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A necessary and sufficient condition for the existence of an interface in flows through porous mediaArchive for Rational Mechanics and Analysis, 56
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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 Sinica – Springer Journals
Published: Jul 13, 2005