Keywords
- Weak Solution
- Boundary Problem
- Inverse Function
- Singular System
- Degenerate Parabolic Equation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Oleinik, O.A., Klashnikow, A.S. and Zhou Yu-lin, The Cauchy problem and boundary problems for equations of the type of nonstationary filtration, Izv. Akad. Nauk. SSSR, ser. mat. 22(1958) 667–704.
Aronson, D.G., Regularity proerties of flows through porous media, SIAM J. Appl. Math., 17 (1969), 461–467.
Gilding, B.H., Peletier, L.A., The Cauchy problem for an equation in the theory of filtration, Arch. Rat. Mech. Anal. 61(1976), 127–140.
Gilding, B.H., Properties of solutions of an equation in the theory of filtration, Arch. Rat. Mech. Anal., 65(1977), 203–225.
Knerr, B.F., The porous medium equation in one dimension, Trans. American Math. Soc. 234(1977), 381–414.
Aronson, D.G., Regularity properties of flows through pororus media: A counter-example, SIAM J. Appl. Math. 19(1970), 299–307.
Kamin, S., Source-type solutions for equations of nonstationary filtration, J. Math. Anal. Appl., 64(1978), 263–276.
Fu Hong-Yuan, Convergence of difference solutions for filtration equations, Math. Numer. Sinica, 3(1985), 302–308.
Fu Hong-Yuan, Convergence of difference solutions for degenerate or singular parabolic equations, to appear.
Zhou Yu-lin, Initial value problems for nonlinear degenerate systems of filtration type, Chin. Ann. of Math. 5B(1984) 632–652.
Friedman, A., Partial Differential Equation of Parabolic Type, Prentico Hall, Inc. 1964.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Hong-Yuan, F. (1988). Initial and boundary problems for the degenerate or singular system of the filtration type. In: Chern, Ss. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082925
Download citation
DOI: https://doi.org/10.1007/BFb0082925
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19097-4
Online ISBN: 978-3-540-39107-4
eBook Packages: Springer Book Archive
