Carleman Estimates and Controllability of Linear Stochastic Heat Equations
Carleman Estimates and Controllability of Linear Stochastic Heat Equations
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DOI：
10.1007/s00245-002-0757-z
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发表时间：
2003-03
影响因子：
1.8
通讯作者：
V. Barbu;A. Rășcanu;G. Tessitore
中科院分区：
文献类型：
--
作者：
V. Barbu;A. Rășcanu;G. Tessitore
Abstract.This work is concerned with Carleman inequalities and controllability properties for the following stochastic linear heat equation (with Dirichlet boundary conditions in the bounded domainD⊂Rdand multiplicative noise):$ \left\{ \begin{array}{@{}l} {\displaystyle d_{t}y^{u}-\Delta y^{u}+$and for the corresponding backward dual equation:$ \left\{ \begin{array}{@{}l} {\displaystyle d_{t}p^{v}+\Delta p^{v}\,$We prove the null controllability of the backward equation and obtain partial results for the controllability of the forward equation. \par
Abstract.This work is concerned with Carleman inequalities and controllability properties for the following stochastic linear heat equation (with Dirichlet boundary conditions in the bounded domainD⊂Rdand multiplicative noise):$ \left\{ \begin{array}{@{}l} {\displaystyle d_{t}y^{u}-\Delta y^{u}+$and for the corresponding backward dual equation:$ \left\{ \begin{array}{@{}l} {\displaystyle d_{t}p^{v}+\Delta p^{v}\,$We prove the null controllability of the backward equation and obtain partial results for the controllability of the forward equation. \par