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| The Continuity of Barrier Function with Respect to the Parameter |
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Citation： |
Xinxiang LI,Jun YAN.The Continuity of Barrier Function with Respect to the Parameter[J].Chinese Annals of Mathematics B,2009,30(2):145~152 |
| Page view： 1639
Net amount： 1310 |
Authors： |
Xinxiang LI; Jun YAN; |
Foundation： |
the National Natural Science Foundation of China (No. 10601013), the National Basic
Research Program of China and the 973 Project of the Ministry of Science and Technology of China (No.
2007CB814804). |
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| Abstract： |
The authors study the continuity of barrier function Bc(x) with respect to
the parameter. A sufficient condition which makes Bc(x) be continuous with respect to
c is obtained, and an example of discontinuity when the condition is not satisfied is also
constructed. |
Keywords： |
Lagrangian system, Average action, Barrier function, Minimal measure,
Uniquely ergodic |
Classification： |
58E15, 53C05, 37J50 |
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