Title:
|
Nonlinear parabolic variational inequalities (English) |
Author:
|
Biroli, Marco |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
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26 |
Issue:
|
1 |
Year:
|
1985 |
Pages:
|
23-39 |
. |
Category:
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math |
. |
MSC:
|
35B05 |
MSC:
|
35B65 |
MSC:
|
35K55 |
MSC:
|
35K85 |
MSC:
|
49A29 |
MSC:
|
49J40 |
idZBL:
|
Zbl 0572.35063 |
idMR:
|
MR797292 |
. |
Date available:
|
2008-06-05T21:20:12Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106346 |
. |
Reference:
|
[1] ARONSON D. G.: Nonnegative solutions of linear parabolic equations.Ann. Sc. Norm. Sup Pisa 22 (1968), 607-694. MR 0435594 |
Reference:
|
[2] BENSOUSSAN A., LIONS J. L.: Inéquations variationnelles et quasi-variationnelles en contrôle stochastique et en contrôle impusionnel.Dunod (1982). |
Reference:
|
[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 0487628 |
Reference:
|
[4] BIROLI M.: Existence of a Hölder continuous solution of a parabolic obstacle problem.Boll. U.M.I. 6, 2A (1983), 311-319. Zbl 0529.49002, MR 0724483 |
Reference:
|
[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. |
Reference:
|
[6] BIROLI M., MOSCO U.: Wiener estimates at boundary points for parabolic equations.Ann. Mat. Pura e Appl., in print. Zbl 0601.35015 |
Reference:
|
[7] BIROLI M., MOSCO U.: Wiener obstacles: the parabolic case.Submitted to Indiana Math. Univ. J. |
Reference:
|
[8] BOCCARDO L., MURAT P.: .Personal communication. Zbl 0807.35034 |
Reference:
|
[9] CHOQUET J.: Lectures on Analysis.Benjamin (1969). Zbl 0181.39603 |
Reference:
|
[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 0664105 |
Reference:
|
[11] FREHSE J., MOSCO U.: Wiener obstacles.Collège de France, Seminar on nonlinear partial differential equations, 1982/83 Pitman (1984). MR 0772244 |
Reference:
|
[12] GIUSTI E., GIAQUTNTA M.: Nonlinear elliptic systems with quadratic growth.Man. Math. 24 (1978), 323-349. MR 0481490 |
Reference:
|
[13] KENMOCHI N.: Nonlinear parabolic variational inequalities with time dependent constraints.Proc. Jap. Ac. 53 A6 (1976), 186-189. MR 0493562 |
Reference:
|
[14] LADYZENSKAYA O. A., URAL'CEVA N. N.: Equations aux dérivées partielles de type elliptique.Dunod (1968). MR 0239273 |
Reference:
|
[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). |
Reference:
|
[16] MATZEU M., MOSCO U., VIVALDI M. A.: Optimal impulse and continuous control with Hamiltonlan of quadratic growth.Preprint. MR 0774413 |
Reference:
|
[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 0492885 |
Reference:
|
[18] MOSCO U.: Implicit variational problems and quasi-variational inequalities."Nonlinear operators and the calculus of variations", Lect. Not. in Math. 543-Springer (1976). Zbl 0346.49003, MR 0513202 |
Reference:
|
[19] MOSCO U.: Module de Wiener pour un problème d'obstacle.C.R.A.S. Paris 295 (1982), 571-575. |
Reference:
|
[20] MOSCO U.: Lecture at the "Summer Institute on Nonlinear Functional Analysis and Applications".A.M.S., July 1983. |
Reference:
|
[21] STRUWE M.: On the partial regularity of weak solutions of nonlinear parabolic systems.Math. Zeitschr. 179-4 (1982), 437-453. MR 0652852 |
Reference:
|
[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. |
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