CARLEMAN ESTIMATE AND UNIQUE CONTINUATION PROPERTY FOR THE LINEAR STOCHASTIC KORTEWEG–DE VRIES EQUATION

DOI10.1017/S0004972714000276zbMath1301.35130MaRDI QIDQ2922942

Peng Gao

Publication date: 15 October 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Carleman estimateunique continuation propertylinear stochastic Korteweg-de Vries equation

Mathematics Subject Classification ID

Controllability (93B05) KdV equations (Korteweg-de Vries equations) (35Q53) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (13)

Global Carleman estimates for linear stochastic Kawahara equation and their applications ⋮ Limiting dynamics for stochastic nonclassical diffusion equations ⋮ Null controllability and inverse source problem for stochastic Grushin equation with boundary degeneracy and singularity ⋮ The cost of null controllability for a backward stochastic degenerate parabolic equation in the vanishing viscosity limit ⋮ Unique continuation property for the Zakharov-Kuznetsov equation ⋮ Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications ⋮ Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem ⋮ The stochastic Korteweg-de Vries equation on a bounded domain ⋮ Carleman estimates and unique continuation property for 1-D viscous Camassa-Holm equation ⋮ Global Carleman estimates for the linear stochastic Kuramoto-Sivashinsky equations and their applications ⋮ -Insensitizing controls for the linear stochastic Korteweg-de Vries equation ⋮ Averaging principle for Korteweg-de Vries equation with a random fast oscillation ⋮ Observability Estimates and Null Controllability for Forward and Backward Linear Stochastic Kuramoto--Sivashinsky Equations

Cites Work

• Carleman estimates and controllability of linear stochastic heat equations
• Lipschitz stability in an inverse problem for the main coefficient of a Kuramoto-Sivashinsky type equation
• Null Controllability for Forward and Backward Stochastic Parabolic Equations
• Carleman and Observability Estimates for Stochastic Wave Equations
• Observability Estimate for Stochastic Schrödinger Equations and Its Applications
• Modified KdV equation with a source term in a bounded domain

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