\(L^p\) uniqueness of non-symmetric diffusion operators with singular drift coefficients

DOI10.1006/jfan.2000.3574zbMath1016.47030OpenAlexW1493711015MaRDI QIDQ1572900

Andreas Eberle

Publication date: 13 November 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3574

zbMATH Keywords

\(C_0\)-semigroupsdiffusion operators\(L^p\)-uniqueness problems

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Applications of operator theory to differential and integral equations (47N20)

Related Items (9)

Uniqueness of diffusion generators for two types of particle systems with singular interactions ⋮ \(m\)-dissipativity of some gradient systems with measurable potential ⋮ Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts ⋮ ON THE STRONG UNIQUENESS OF SOME FINITE DIMENSIONAL DIRICHLET OPERATORS ⋮ A NEW A PRIORI ESTIMATE FOR THE KOLMOGOROV OPERATOR OF A 2D-STOCHASTIC NAVIER–STOKES EQUATION ⋮ On the \(L^\infty\)-uniqueness of dynamical systems with small random perturbation ⋮ Differential entropy and dynamics of uncertainty ⋮ On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation ⋮ On the \(L^\infty \)-uniqueness of symmetric diffusion operators on complete non-compact Riemannian manifolds

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• The essential self-adjointness of generalized Schrödinger operators
• Uniqueness of generalized Schrödinger operators and applications
• Dirichlet operators: A priori estimates and the uniqueness problem
• A priori estimates for second order elliptic equations and their applications
• On the uniqueness problem for Dirichlet operators
• Uniqueness of generalized Schrödinger operators. II
• Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
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