References
Aronson, D.G., Regularity properties of flows through porous media. SIAM J. Appl. Math. 17, 461–467 (1969).
Aronson, D.G., Regularity properties of flows through porous media: A counterexample. SIAM J. Appl. Math. 19, 299–307 (1970).
Bear, J., Dynamics of Fluids in Porous Media. New York: American Elsevier Publishing Company Inc. 1972.
Brooks, R.H., & A.T. Corey, Properties of porous media affecting fluid flow. Journal of the Irrigation and Drainage Division ASCE 92, 61–88 (1966).
Friedman, A., Partial Differential Equations of Parabolic Type. Englewood Cliffs, N.J.: Prentice-Hall Inc. 1964.
Gilding, B.H., Hölder continuity of solutions of parabolic equations. J. London Math. Soc. 12, (1976).
Irmay, S., On the hydraulic conductivity of unsaturated soils. Trans. Amer. Geophys. Union 35, 463–467 (1954).
Ladyzhenskaja, O.A., V.A. Solonnikov, & N.N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Translations of Mathematical Monographs Volume 23. Providence, R.I.: American Mathematical Society 1968.
Oleinik, O.A., A.S. Kalashnikov, & Chzhou, Yui-Lin, The Cauchy problem and boundary problems for equations of the type of unsteady filtration. Izv. Akad. Nauk. SSSR Ser. Mat. 22, 667–704 (1958).
Remson, I., G.M. Hornberger, & F.J. Molz, Numerical Methods in Subsurface Hydrology with an introduction to the finite element method. New York: Wiley-Interscience 1971.
Swartzendruber, D., The flow of water in unsaturated soils. Flow Through Porous Media, edited by R.J.M. Dewiest, 215–292. New York: Academic Press 1969.
Author information
Authors and Affiliations
Additional information
Communicated by J.B. McLeod
Rights and permissions
About this article
Cite this article
Gilding, B.H., Peletier, L.A. The cauchy problem for an equation in the theory of infiltration. Arch. Rational Mech. Anal. 61, 127–140 (1976). https://doi.org/10.1007/BF00249701
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00249701