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{Second-order parabolic equations with unbounded coefficients} in exterior domains.

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Publication:601512
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zbMath1212.35037MaRDI QIDQ601512

Luca Lorenzi, Abdelaziz Rhandi, Matthias Hieber

Publication date: 28 October 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

parabolic equationDirichlet boundary conditionNeumann boundary conditionelliptic equationsmooth exterior domain


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Second-order parabolic equations (35K10)


Related Items

The Cauchy-Dirichlet problem for a class of linear parabolic differential equations with unbounded coefficients in an unbounded domain, Quasi-\(L^p\)-contractive analytic semigroups generated by elliptic operators with complex unbounded coefficients on arbitrary domains, Global properties of generalized Ornstein--Uhlenbeck operators on \(L^p(\mathbb R^N, \mathbb R^N)\)with more than linearly growing coefficients, Dirichlet parabolic problems involving Schrödinger type operators with unbounded diffusion and singular potential terms in unbounded domains



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