A parabolic quasi-variational inequality arising in hydraulics
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 2 (1975) no. 3, p. 421-468
@article{ASNSP_1975_4_2_3_421_0,
     author = {Friedman, Avner and Jensen, Robert},
     title = {A parabolic quasi-variational inequality arising in hydraulics},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 2},
     number = {3},
     year = {1975},
     pages = {421-468},
     zbl = {0316.49034},
     mrnumber = {380106},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1975_4_2_3_421_0}
}
Friedman, Avner; Jensen, Robert. A parabolic quasi-variational inequality arising in hydraulics. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 2 (1975) no. 3, pp. 421-468. http://www.numdam.org/item/ASNSP_1975_4_2_3_421_0/

[1] J. Bear, Dynamics of Fluids in Porous Media, American Elsevier Publishing Company, New York, 1972.

[2] A. Bensoussan - A. Friedman, Nonlinear variational inequalities and differential games with stopping times, J. Funct. Analys., 16 (1974), 305-352. | MR 354049 | Zbl 0297.90120

[3] A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, N. J., 1964. | MR 181836 | Zbl 0144.34903

[4] A. Friedman, Parabolic variational inequalities in one space dimension and smoothness of the free boundary, J. Funct. Analys., 18 (1975), 151-176. | MR 477461 | Zbl 0295.35045

[5] A. Friedman, A parabolic system of quasi-variational inequalities, to appear.

[6] A. Friedman - D. Kinderlehrer, A class of parabolic quasi-variational inequalities, J. Diff. Eqs., to appear. | Zbl 0299.35049

[7] R. Jensen, Finite difference approximations to the free boundary of a parabolic variational inequality, to appear.

[8] O. A. Ladyzhenskaja - V.A. Solonnikov - N.N. Ural'Ceva, Linear and Quasi-linear Equations of Parabolic Type, Amer. Math. Soc. Translations, vol. 23, 1968, Providence, R. I. | Zbl 0174.15403

[9] D. Schaeffer, A new proof of infinite differentiability of the free boundary in the Stefan problem, to appear. | MR 390499

[10] L. Tartar, Inequations quasi variationelles abstraite, C. R. Acad. Sci. Paris, 278 (1974), 1193-1196. | MR 344964 | Zbl 0334.49003

[11] P. Van Moerbeke, An optimal stopping problem for linear reward, Acta Math., 132 (1974), 1-41. | MR 376225 | Zbl 0297.60027