|
|
| |
| ON THE HYPERBOLIC OBSTACLE PROBLEM OF FIRST ORDER |
| |
Citation： |
J. F. RODRIGUES.ON THE HYPERBOLIC OBSTACLE PROBLEM OF FIRST ORDER[J].Chinese Annals of Mathematics B,2002,23(2):253~266 |
| Page view： 1165
Net amount： 856 |
Authors： |
J. F. RODRIGUES; |
Foundation： |
Partially supported by the Project FCT-POCTI/34471/MAT/2000. |
|
|
| Abstract： |
This paper presents new results for strong solutions and their coincidence sets of the obstacle problem for linear hyperbolic operators of first order. An inequality similar to the Lewy–Stampacchia ones for elliptic and parabolic problems is shown. Under nondegeneracy conditions the stability of the coincidence set is shown with respect to the variation of the data and with respect to approximation by semilinear hyperbolic problems. These results are applied to the asymptotic stability of the evolution problem with respect to the stationary coercive problem with obstacle. |
Keywords： |
Hyperbolic obstacle problem, Linear hyperbolic operator, Strong solution, |
Classification： |
35L85, 35R35 |
|
|
Download PDF Full-Text
|
