\(L ^{p }\)-theory for second-order elliptic operators with unbounded coefficients

DOI10.1007/s00028-012-0163-1zbMath1277.47060OpenAlexW2012779994MaRDI QIDQ1935525

Motohiro Sobajima

Publication date: 18 February 2013

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-012-0163-1

zbMATH Keywords

unbounded coefficientssecond-order elliptic operators\(m\)-sectorial operatorsanalytic contraction semigroups\(m\)-accretive operatorss

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Linear differential equations in abstract spaces (34G10) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (8)

An \(L^p\)-theory for generalized Ornstein-Uhlenbeck operators with nonnegative singular potentials ⋮ Generalized Ornstein-Uhlenbeck semigroups in weighted \(L^p\)-spaces on Riemannian manifolds ⋮ The \(m\)-accretivity of covariant Schrödinger operators with unbounded drift ⋮ Existence of solutions to heat equations with singular lower order terms ⋮ A direct approach to generation of analytic semigroups by generalized Ornstein-Uhlenbeck operators in weighted \(L^p\) spaces ⋮ On the threshold for Kato's selfadjointness problem and its \(L^p\)-generalization ⋮ Scale invariant elliptic operators with singular coefficients ⋮ \(L^p\)-theory for second-order elliptic operators with unbounded coefficients in an endpoint class

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