Elliptic problems on \(\mathbb R^N\) with unbounded coefficients in classical Sobolev spaces

DOI10.1007/s00209-004-0686-4zbMath1130.35031OpenAlexW2139951374MaRDI QIDQ1769029

Patrick J. Rabier

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

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Second-order elliptic equations (35J15) Applications of operator theory to differential and integral equations (47N20)

Related Items (max. 100)

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 $C_\infty$

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