Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem
From MaRDI portal
Publication:3298413
DOI10.1088/1361-6420/ab89c3zbMath1443.35207arXiv1910.14561OpenAlexW3016279903MaRDI QIDQ3298413
Publication date: 14 July 2020
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.14561
null controllabilityCarleman estimateinverse random source problemstochstic degenerate parabolic equation
Degenerate parabolic equations (35K65) Inverse problems for PDEs (35R30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items
Determination of the solution of a stochastic parabolic equation by the terminal value, Null controllability and inverse source problem for stochastic Grushin equation with boundary degeneracy and singularity, Null controllability for a class of stochastic singular parabolic equations with the convection term, A numerical method for a backward problem of a linear stochastic Kuramoto-Sivashinsky equation, Controllability and observability for some forward stochastic complex degenerate/singular Ginzburg–Landau equations, The cost of null controllability for a backward stochastic degenerate parabolic equation in the vanishing viscosity limit, Global uniqueness in an inverse problem for a class of damped stochastic plate equations, A concise introduction to control theory for stochastic partial differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Carleman estimates for elliptic operators with complex coefficients. I: Boundary value problems
- A weighted identity for stochastic partial differential operators and its applications
- Determination of two unknowns simultaneously for stochastic Euler-Bernoulli beam equations
- Null controllability of \(n\)-coupled degenerate parabolic systems with \(m\)-controls
- A \(W_ 2^ n\)-theory of the Dirichlet problem for SPDEs in general smooth domains
- Carleman estimates and controllability of linear stochastic heat equations
- Null controllability of a coupled degenerate system with the first order terms
- Carleman estimate for a linearized bidomain model in electrocardiology and its applications
- Global Carleman estimates for the linear stochastic Kuramoto-Sivashinsky equations and their applications
- Carleman estimates for coefficient inverse problems and numerical applications.
- Null controllability for a class of degenerate parabolic equations with the gradient terms
- Controllability and observability of some coupled stochastic parabolic systems
- Unique continuation for a reaction-diffusion system with cross diffusion
- Carleman estimates and null controllability of coupled degenerate systems
- Carleman estimates for stochastic parabolic equations with Neumann boundary conditions and applications
- Exact controllability for stochastic Schrödinger equations
- Null controllability of degenerate heat equations
- Carleman estimates for degenerate parabolic operators with applications to null controllability
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems
- CARLEMAN ESTIMATE AND UNIQUE CONTINUATION PROPERTY FOR THE LINEAR STOCHASTIC KORTEWEG–DE VRIES EQUATION
- On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
- Carleman Estimates and Null Controllability for a Class of Degenerate Parabolic Equations with Convection Terms
- Carleman estimates for the non-stationary Lamé system and the application to an inverse problem
- Determination of two kinds of sources simultaneously for a stochastic wave equation
- Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress
- Numerical solution of an inverse medium scattering problem with a stochastic source
- Null Controllability for Forward and Backward Stochastic Parabolic Equations
- Carleman Estimates for a Class of Degenerate Parabolic Operators
- Carleman and Observability Estimates for Stochastic Wave Equations
- Carleman estimates for parabolic equations and applications
- Adapted solution of a backward semilinear stochastic evolution equation
- An inverse random source problem in quantifying the elastic modulus of nanomaterials
- Carleman Estimates of Some Stochastic Degenerate Parabolic Equations and Application
- Global Uniqueness for an Inverse Stochastic Hyperbolic Problem with Three Unknowns
- Global Carleman estimate for stochastic parabolic equations, and its application
