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| Carleman Estimates for Parabolic Equations with Nonhomogeneous Boundary Conditions |
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Citation： |
Oleg Yu IMANUVILOV,Jean Pierre PUEL,Masahiro YAMAMOTO.Carleman Estimates for Parabolic Equations with Nonhomogeneous Boundary Conditions[J].Chinese Annals of Mathematics B,2009,30(4):333~378 |
| Page view： 2157
Net amount： 1803 |
Authors： |
Oleg Yu IMANUVILOV; Jean Pierre PUEL; Masahiro YAMAMOTO; |
Foundation： |
NSF grant DMS (No. 0808130) and ANR Project (No. C-QUID 06-BLAN-0052). |
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| Abstract： |
The authors prove a new Carleman estimate for general linear second order parabolic
equation with nonhomogeneous boundary conditions. On the basis of this estimate,
improved Carleman estimates for the Stokes system and for a system of parabolic equations
with a penalty term are obtained. This system can be viewed as an approximation
of the Stokes system. |
Keywords： |
Controllability, Parabolic equations, Carleman estimates |
Classification： |
35K20, 93B05, 93B07 |
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