Optimal regularity of lower-dimensional obstacle problems

Journal of Mathematical Sciences

Volumn 132, Issue 3, 2006, Pages 274-284

  Athanasopoulos, I ^a   Caffarelli, L A ^b  

^a UNIVERSITY OF CRETE   (Greece)

^b UNIVERSITY OF TEXAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29144510886     PISSN: 10723374     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10958-005-0496-1     Document Type: Article

References (8)

1. I. Athanasopoulos, "Regularity of the solution of an evolution problem with inequalities on the boundary," Comm. P.D.E., 7, 1453-1465 (1982).
2. L. A. Caffarelli, "Further regularity for the Signorini problem," Comm. P.D.E., 4, 1067-1075 (1979).
3. L. A. Caffarelli, "The obstacle problem revisited," J. Fourier Anal. Appl., 4, 383-402 (1998).
4. G. Duvaut and J. L. Lions, Les Inequations en Mechanique et en Physique, Dunod, Paris (1972).
5. J. L. Lions and G. Stampacchia, "Variational inequalities," Comm. Pure Appl. Math., 20, 493-519 (1967).
6. D. Richardson, Thesis, University of British Columbia (1978).
7. L. Silvestre, Thesis, University of Texas at Austin (in preparation).
8. N. N. Uraltseva, "On the regularity of solutions of variational inequalities," Usp. Mat. Nauk, 42, 151-174 (1987).