@article{CMUC_1985_26_1_a2,
author = {Biroli, Marco},
title = {Nonlinear parabolic variational inequalities},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {23--39},
year = {1985},
volume = {26},
number = {1},
mrnumber = {797292},
zbl = {0572.35063},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1985_26_1_a2/}
}
Biroli, Marco. Nonlinear parabolic variational inequalities. Commentationes Mathematicae Universitatis Carolinae, Tome 26 (1985) no. 1, pp. 23-39. http://geodesic.mathdoc.fr/item/CMUC_1985_26_1_a2/
[1] ARONSON D. G.: Nonnegative solutions of linear parabolic equations. Ann. Sc. Norm. Sup Pisa 22 (1968), 607-694. | MR
[2] BENSOUSSAN A., LIONS J. L.: Inéquations variationnelles et quasi-variationnelles en contrôle stochastique et en contrôle impusionnel. Dunod (1982).
[3] BIROLI M.: Sur les inéquations d'évolution paraboliques avec convexe dépendant du temps: solution forte et solution faible. Riv. Mat. Univ. Parma 3 (1974), 33-72. | MR
[4] BIROLI M.: Existence of a Hölder continuous solution of a parabolic obstacle problem. Boll. U.M.I. 6, 2A (1983), 311-319. | MR | Zbl
[5] BIROLI M.: Pointwise continuity for a weak solution of a parabolic obstacle problem. Lecture at the "Summer Research Institute on Nonlinear Functional Analysis and Applications" A.M.S., July 1983.
[6] BIROLI M., MOSCO U.: Wiener estimates at boundary points for parabolic equations. Ann. Mat. Pura e Appl., in print. | Zbl
[7] BIROLI M., MOSCO U.: Wiener obstacles: the parabolic case. Submitted to Indiana Math. Univ. J.
[8] BOCCARDO L., MURAT P.: Personal communication. | Zbl
[9] CHOQUET J.: Lectures on Analysis. Benjamin (1969). | Zbl
[10] FREHSE J., MOSCO U.: Irregular obstacles and quasi-variational inequalities of the stochastic impulse control. Ann. Sc. Norm. Pisa IV, IX, 1 (1982), 105-157. | MR
[11] FREHSE J., MOSCO U.: Wiener obstacles. Collège de France, Seminar on nonlinear partial differential equations, 1982/83 Pitman (1984). | MR
[12] GIUSTI E., GIAQUTNTA M.: Nonlinear elliptic systems with quadratic growth. Man. Math. 24 (1978), 323-349. | MR
[13] KENMOCHI N.: Nonlinear parabolic variational inequalities with time dependent constraints. Proc. Jap. Ac. 53 A6 (1976), 186-189. | MR
[14] LADYZENSKAYA O. A., URAL'CEVA N. N.: Equations aux dérivées partielles de type elliptique. Dunod (1968). | MR
[15] LADYZENSKAYA O. A., SOLONNIKOV V. A., URAL'CEVA N. N.: Linear and quasilinear equations of parabolic type. Trans. of Math. Mon. A.M.S. (1968).
[16] MATZEU M., MOSCO U., VIVALDI M. A.: Optimal impulse and continuous control with Hamiltonlan of quadratic growth. Preprint. | MR
[17] MIGNOT F., PUEL J. P.: Inéquations paraboliques avec convexe dépendant du temps, applications aux inéquations quasi-variationnelles d'évolution. Arch. Rat. Mech. An. 64 (1977), 59-91. | MR
[18] MOSCO U.: Implicit variational problems and quasi-variational inequalities. "Nonlinear operators and the calculus of variations", Lect. Not. in Math. 543-Springer (1976). | MR | Zbl
[19] MOSCO U.: Module de Wiener pour un problème d'obstacle. C.R.A.S. Paris 295 (1982), 571-575.
[20] MOSCO U.: Lecture at the "Summer Institute on Nonlinear Functional Analysis and Applications". A.M.S., July 1983.
[21] STRUWE M.: On the partial regularity of weak solutions of nonlinear parabolic systems. Math. Zeitschr. 179-4 (1982), 437-453. | MR
[22] STRUWE M., VIVALDI M. A.: On the Hölder continuity of bounded weak solutions of quasi-linear parabolic variational inequalities. Ann. Mat. Pura e Appl., in print.