| ON THE HYPERBOLIC OBSTACLE PROBLEM OF FIRST ORDER |
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| 作者姓名： | J. F. RODRIGUES |
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| 作者单位： | ＣＭＡＦ/Ｕｎｉｖｅｒｓｉｄａｄｅ ｄｅ |
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| 基金项目： | Partially supported by the Project FCT－POCTI/34471/MAT/2000 |
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| 摘 要： | InroductlonThe classical obstacle problem canbe formulated as the
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| 关 键 词： | 双曲型障碍问题 线性算子 强解 变分不等式 稳定性 叠合集 发展问题 |
| 收稿时间： | 2/2/2002 12:00:00 AM |
ON THE HYPERBOLIC OBSTACLE PROBLEM OF FIRST ORDER |
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| J. F. RODRIGUES.ON THE HYPERBOLIC OBSTACLE PROBLEM OF FIRST ORDER[J].Chinese Annals of Mathematics,Series B,2002,23(2):253-266. |
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| Authors: | J F RODRIGUES |
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| Institution: | CMAF/Universidade de Lisboa,Av. Prof. Gama Pinto,2,1649-003 Lisboa,Portugal. E-mail: rodrigue@lmc. fc. ul.pt |
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| 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. |
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| Keywords: | Hyperbolic obstacle problem Linear hyperbolic operator Strong solution |
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