Keywords
- Variational Inequality
- Parabolic Equation
- Free Boundary
- Free Boundary Problem
- Quasi Variational Inequality
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
BABUSKA, I. [1] Solution of problems with interfaces and singularities. Inst. Fluid Dyn. Applied Math. April 1974.
BABUSKA, I. [2] Solution of the interface problem by homogeneization Inst. Fluid. Dyn. Applied Math. March 1974.
BAHVALOV, N.S. [1] Doklady Akad. Nauk. USSR, 218 (1974), pp. 1046–1048.
BAIOCCHI, C. [1] Su un problema di frontiera libera connesso a questioni di idraulica. Ann. Mat. Pura e Applic. XCII (1972), pp. 107–127. (C.R.A.S. 273 (1971), pp. 1215–1217).
[2] Problèmes à frontière libre en hydraulique. C.R.A.S. 278, (1974), pp. 1201–1204.
BAIOCCHI, C. [3] These Proceedings.
BENSOUSSAN, A., and LIONS, J. L. [1] Nouvelle formulation de problèmes de contrôle impulsionnel et applications. C.R.A.S. Paris, 276 (1973), pp. 1189–1192.
[2] Contrôle impulsionnel et systèmes d’Inéquations Quasi Variationnelles. C.R.A.S. Paris, 278(1974) pp. 747–751.
BENSOUSSAN, A., LIONS, J. L., and PAPANICOLAOU, G. [1] Sur quelques phénomènes asymptotiques stationnaires. C.R.A.S., Paris, (1975).
[2] Sur quelques phénomènes aymptotiques d’évolution. C.R.A.S., Paris (1975).
BENSOUSSAN, A., LIONS, J. L., and PAPANICOLAOU, G. [3] Book in preparation.
BOCCARDO, L., and MARCELLINI, P. [1] Sulla convergenza delle soluzioni di disequazioni variazionali. Tst. Matematico U. Dini, Firenze, 1975.
BOCCARDO, L., and CAPUZZO DOLCETTA, I. [1] To appear.
BOURGAT, J. F. [1] To appear.
BREZIS, H., and STAMPACCHIA, G. [1] The hodograph method in fluid dynamics in the light of variational inequalities. To appear (C.R.A.S. 276, (1973), pp. 129–132).
BREZIS, H., and STAMPACCHIA, G. [2] These Proceedings.
CRISTIANO [1] To appear.
DUVAUT, G. [1] Résolution d’un problème de Stefan, C.R.A.S. Paris, 276, (1973), pp. 1461–1463.
DUVAUT, G., [2] Problèms à frontière libre en théorie des milieux continus. Conférence Toulouse, 1975.
FRIEDMAN, A., and KINDERLHERER, D. [1] A class of parabolic quasi variattional inequalities. To appear.
DE GIORGI, E. and SPAGNOLO, S. [1] Sulla convergenza degli integrali dell’energia per operatori ellittici del secondo ordine. Boll. UMI (4) 8 (1973), pp. 391–411.
LIONS, J. L. [1] Introduction to some aspects of free surface problems. Synspade. University of Maryland, May 1975.
LIONS, J. L., and STAMPACCHIA, G. [1] Variational Inequalities. C.P.A.M. (1967), pp. 493–519.
MARCELLINI, P. [1] Un teorema di passagio al limite per la somma di funczioni convesse. Boll. U.M.I. 11 (1975).
MARINO, A. and SPAGNOLO, S. [1] Un tipo di approssimazione dell’operatore ... Annali Scuola Normale Superiore di Pisa, XXIII (1969), pp. 657–673.
MEYERS, G. [1] An Lp-estimate for the gradient of solutions of second order elliptic divergence equations. Annali Scuola N. Sup. Pisa, 17 (1963), pp. 189–206.
SANCHEZ-PALENCIA, E. [1] Comportements local et macroscopique d’un type de milieux physiques hétérogènes. Int. J. Eng. Sci. (1974), Vol. 12, pp. 331–351.
SBORDONE, C. [1] Sulla G-convergenza di equazioni ellittiche e paraboliche. Ricerche di Mat. (1975).
SHOWALTER, R. E., and TING, T. W. [1] Pseudo-parabolic partial differential equations. SIAM J. Math. Anal. (1970), pp. 1–26.
SPAGNOLO, S. [1] Sul limite delle soluzioni di problemi di Cauchy relativi all’equazione del calore. Annali Scuola Normale Superiore di Pisa, XXI (1967), pp. 657–699.
[2] Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche. Annali Scuola Normale Superiore di Pisa, XXII (1968), pp. 571–597.
TARTAR, L. [1] Problèmes de contrôle des coefficients dans des équations aux dérivées partielles, in Lecture Notes in Economics and Mathematical Systems, Springer, 107, (1975), pp. 420–426.
TARTAR, l. [2] To appear.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Lions, J.L. (1976). Asymptotic behaviour of solutions of variational inequalities with highly oscillating coefficients. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088745
Download citation
DOI: https://doi.org/10.1007/BFb0088745
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07629-2
Online ISBN: 978-3-540-38165-5
eBook Packages: Springer Book Archive
