Elliptic problems on \(\mathbb R^N\) with unbounded coefficients in classical Sobolev spaces
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Publication:1769029
DOI10.1007/s00209-004-0686-4zbMath1130.35031OpenAlexW2139951374MaRDI QIDQ1769029
Publication date: 16 March 2005
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-004-0686-4
One-parameter semigroups and linear evolution equations (47D06) Second-order elliptic equations (35J15) Applications of operator theory to differential and integral equations (47N20)
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On a class of self-adjoint elliptic operators in \(L^2\) spaces with respect to invariant measures ⋮ Well posedness for one class of elliptic equations with drift ⋮ Uniqueness for elliptic operators on with unbounded coefficients ⋮ A weighted least squares finite element method for elliptic problems with degenerate and singular coefficients ⋮ Quasi-\(L^p\)-contractive analytic semigroups generated by elliptic operators with complex unbounded coefficients on arbitrary domains ⋮ Dirichlet boundary conditions for elliptic operators with unbounded drift ⋮ \(L^p\)-uniqueness for elliptic operators with unbounded coefficients in \(\mathbb R^N\) ⋮ Global properties of generalized Ornstein--Uhlenbeck operators on \(L^p(\mathbb R^N, \mathbb R^N)\)with more than linearly growing coefficients ⋮ On a perturbation of a class of Schr"odinger systems in -spaces ⋮ On the theory of the Kolmogorov operator in the spaces $L^p$ and $C_\infty$
Cites Work
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- An \(L^ p\) theory for Schrödinger operators with nonnegative potentials
- On the spectral theory of elliptic differential operators. I
- Semigroups of linear operators and applications to partial differential equations
- Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\)
- Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs.
- Dirichlet problem for a divergence form elliptic equation with unbounded coefficients in an unbounded domain
- On analyticity of Ornstein-Uhlenbeck semigroups
- Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
- On the Ornstein-Uhlenbeck operator in spaces of continuous functions
- \(L^p\)-regularity for elliptic operators with unbounded coefficients
- A counterexample to Schauder estimates for elliptic operators with unbounded coefficients
- Fundamental solutions of parabolic differential equations and boundary value problems
- Generation of Analytic Semigroups by Elliptic Operators with Unbounded Coefficients
- Inequalities and separation for Schrödinger type operators in L2(Rn)
- Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$
- Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on $\mathbb {R}^{N}$
- On the Ornstein-Uhlenbeck operator in 𝐿² spaces with respect to invariant measures
- Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients
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