Maximal \(L^p\) regularity for elliptic equations with unbounded coefficients
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Publication:1601668
DOI10.1016/S0362-546X(01)00133-XzbMath1012.35027MaRDI QIDQ1601668
Vincenzo Vespri, Giuseppe Da Prato
Publication date: 27 June 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
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Cites Work
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- Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\)
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Characterization of the domain of an elliptic operator of infinitely many variables in \(L^2(\mu)\) spaces
- Dirichlet operators via stochastic analysis
- Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
- ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
- Fundamental solutions of parabolic differential equations and boundary value problems
- Generation of Analytic Semigroups by Elliptic Operators with Unbounded Coefficients
- On the existence of a fundamental solution for a parabolic differential equation with unbounded coefficients
- Dirichlet forms and diffusion processes on rigged Hilbert spaces
- Regularity results for Kolmogorov equations in L 2 (H, μ) spaces and applications
- On the Ornstein-Uhlenbeck operator in 𝐿² spaces with respect to invariant measures
- Generalized Ornstein-Uhlenbeck semigroups: Littlewood-Paley-Stein inequalities and the P. A. Meyer equivalence of norms
- Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients