References
Aronson, D. G., Regularity properties of flows through porous media. SIAM J. on Applied Math. 17, 461–467 (1969).
Aronson, D. G., Regularity properties of flows through porous media: A counterexample. SIAM J. on Applied Math. 19 (1970).
Aronson, D. G., & James Serrin, Local behavior of solutions of quasilinear parabolic equations. Arch. Rational Mech. Anal. 25, 81–122 (1967).
Friedman, Avner, Partial Differential Equations of Parabolic Type. Englewood Cliffs, N.J.: Prentice-Hall 1964.
Il'in, A. M., A. S. Kalashnikov, & O. A. Oleinik, Second order linear equations of parabolic type. Russian Math. Surveys 17, no. 3, 1–143 (1962).
Kalashnikov, A. S., On the occurrance of singularities in the solutions of the equation of nonstationary filtration. Zhurnal Vychialital'noi Matematiki i Matematicheskoi Fisiki 7, 440–444 (1967).
Kruzhkov, S. N., Results on the character of the regularity of solutions of parabolic equations and some of their applications. Matematicheskie Zametki 6, 97–108 (1969).
Oleinik, O. A., A. S. Kalashnikov, & Chzou Yui-Lin', The Cauchy problem and boundary value problems for equations of the type of nonstationary filtration. Izvestija Akademii Nauk SSSR, ser. mat. 22, 667–704 (1958).
Serrin, James, Introduction to Differentiation Theory. Lecture Notes, University of Minnesota, School of Mathematics, 1965.
Sobolev, S. L., Some Applications of Functional Analysis to Mathematical Physics. Translations of Mathematical Monographs, Vol. 7, American Mathematical Society, Providence, R. I., 1963.
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Aronson, D.G. Regularity properties of flows through porous media: The interface. Arch. Rational Mech. Anal. 37, 1–10 (1970). https://doi.org/10.1007/BF00249496
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DOI: https://doi.org/10.1007/BF00249496