On some Variational Inequalities in Unbounded Domains
Michel Chipot; Karen Yeressian
Bollettino dell'Unione Matematica Italiana (2012)
- Volume: 5, Issue: 2, page 243-262
- ISSN: 0392-4041
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topChipot, Michel, and Yeressian, Karen. "On some Variational Inequalities in Unbounded Domains." Bollettino dell'Unione Matematica Italiana 5.2 (2012): 243-262. <http://eudml.org/doc/290918>.
@article{Chipot2012,
abstract = {We study the variational formulation of the obstacle problem in unbounded domains when the force term might grow at infinity. We derive the appropriate variational formulation and prove existence and uniqueness of solution. We also show the rate of growth at infinity of the solution in terms of the growth rates of the obstacle and the force, and prove the exponential convergence of the solutions in approximating bounded domains to the solution in the unbounded domain.},
author = {Chipot, Michel, Yeressian, Karen},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {243-262},
publisher = {Unione Matematica Italiana},
title = {On some Variational Inequalities in Unbounded Domains},
url = {http://eudml.org/doc/290918},
volume = {5},
year = {2012},
}
TY - JOUR
AU - Chipot, Michel
AU - Yeressian, Karen
TI - On some Variational Inequalities in Unbounded Domains
JO - Bollettino dell'Unione Matematica Italiana
DA - 2012/6//
PB - Unione Matematica Italiana
VL - 5
IS - 2
SP - 243
EP - 262
AB - We study the variational formulation of the obstacle problem in unbounded domains when the force term might grow at infinity. We derive the appropriate variational formulation and prove existence and uniqueness of solution. We also show the rate of growth at infinity of the solution in terms of the growth rates of the obstacle and the force, and prove the exponential convergence of the solutions in approximating bounded domains to the solution in the unbounded domain.
LA - eng
UR - http://eudml.org/doc/290918
ER -
References
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- CHIPOT, M. - YERESSIAN, K., Exponential rates of convergence by an iteration technique, C. R. Acad. Sci. Paris Ser. I, 346 (2008), 21-26. Zbl1134.35016MR2383116DOI10.1016/j.crma.2007.12.004
- DAUTRAY, R. - LIONS, J. L., Mathematical Analysis and Numerical Methods for Science and Technology, Springer-Verlag, Berlin, 1990. Zbl0683.35001MR1036731
- KINDERLEHRER, D. - STAMPACCHIA, G., An introduction to variational inequalities and their applications, Academic Press, New York, 1980. Zbl0457.35001MR567696
- LIONS, J. L. - STAMPACCHIA, G., Variational inequalities, Comm. Pure Applied Math, 20 (1967), 493-519. MR216344DOI10.1002/cpa.3160200302
- RODRIGUES, J. F., Obstacle problems in mathematical physics, Mathematical Studies134, North-Holland, 1987. Zbl0606.73017MR880369
- YERESSIAN, K., Spatial Asymptotic Behavior of Elliptic Equations and Variational Inequalities, Thesis, University of Zurich, 2010.
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