On the theory of the Kolmogorov operator in the spaces $L^p$ and $C_\infty$
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Publication:5003293
DOI10.2422/2036-2145.201810_004zbMath1469.31027arXiv1709.08598OpenAlexW2962788773MaRDI QIDQ5003293
Yuliy A. Semënov, Damir Kinzebulatov
Publication date: 21 July 2021
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.08598
Related Items
Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights ⋮ Feller generators and stochastic differential equations with singular (form-bounded) drift ⋮ Stochastic equations with time-dependent singular drift ⋮ Kolmogorov operator with the vector field in Nash class ⋮ On admissible singular drifts of symmetric α‐stable process ⋮ Regularity for parabolic equations with singular non-zero divergence vector fields ⋮ Sharp solvability for singular SDEs ⋮ Heat kernel bounds for parabolic equations with singular (form-bounded) vector fields ⋮ Regularity of solutions to Kolmogorov equation with Gilbarg-Serrin matrix
Cites Work
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- Some weighted norm inequalities concerning the Schrödinger operators
- A regular potential which is nowhere in \(L_ 1\)
- Uniqueness for some diffusions with discontinuous coefficients
- On the perturbation theory for strongly continuous semigroups
- An introduction to \(\Gamma\)-convergence
- Elliptic operators with unbounded diffusion, drift and potential terms
- Elliptic problems on \(\mathbb R^N\) with unbounded coefficients in classical Sobolev spaces
- Perturbation theory for linear operators.
- On the Dirichlet form of three-dimensional Brownian motion conditioned to hit the origin
- On Schrödinger type operators with unbounded coefficients: generation and heat kernel estimates
- Feller evolution families and parabolic equations with form-bounded vector fields
- Elliptic operators with unbounded diffusion and drift coefficients in \(L^p\)
- Generation results for elliptic operators with unbounded diffusion coefficients in \(L^p\)-and \(C_b\)-spaces
- \(L^p\)-theory for elliptic operators on \(\mathbb R^d\) with singular coefficients
- \(L^p\)-regularity for elliptic operators with unbounded coefficients
- On perturbation theory for semi-groups of operators
- Beiträge zur Störungstheorie der Spektralzerlegung
- Schrödinger operators with l l/2w(Rl) -potentials
- Weakly Differentiable Functions
- $C_0$-Semigroups in $L^p ({\bf R}^d )$ and $\widehat{C}({\bf R}^d )$ Spaces Generated by the Differential Expression $\Delta + b \cdot \nabla$
- A new approach to the $L^p$-theory of $-\Delta + b \cdot \nabla$, and its applications to Feller processes with general drifts
- Elliptic and parabolic problems for a class of operators with discontinuous coefficients