Quasi-\(L^p\)-contractive analytic semigroups generated by elliptic operators with complex unbounded coefficients on arbitrary domains

DOI10.1007/s00233-012-9402-6zbMath1319.47039OpenAlexW1977108677MaRDI QIDQ1758223

Sami Mourou, Mohamed Selmi

Publication date: 8 November 2012

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-012-9402-6

zbMATH Keywords

boundary conditionsanalytic semigroupsunbounded coefficientssesquilinear formssecond order elliptic operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (4)

An \(L^p\)-theory for generalized Ornstein-Uhlenbeck operators with nonnegative singular potentials ⋮ Gaussian upper bounds for heat kernels of second order complex elliptic operators with unbounded diffusion coefficients on arbitrary domains ⋮ Singular parabolic equations of second order on manifolds with singularities ⋮ On \(p\)-elliptic divergence form operators and holomorphic semigroups

Cites Work

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• Gaussian upper bounds for heat kernels of second order complex elliptic operators with unbounded diffusion coefficients on arbitrary domains
• {Second-order parabolic equations with unbounded coefficients} in exterior domains.
• Limits on \(L^ p\) regularity of self-adjoint elliptic operators
• Maximal regularity in \(L^p(\mathbb R^N)\) for a class of elliptic operators with unbounded coefficients.
• Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\)
• Elliptic problems on \(\mathbb R^N\) with unbounded coefficients in classical Sobolev spaces
• Generation of analytic semigroups and domain characterization for degenerate elliptic operators with unbounded coefficients arising in financial mathematics. I.
• Generation results for elliptic operators with unbounded diffusion coefficients in \(L^p\)-and \(C_b\)-spaces
• \(L^p\)-theory for elliptic operators on \(\mathbb R^d\) with singular coefficients
• \(L^p\)-regularity for elliptic operators with unbounded coefficients
• The Ornstein-Uhlenbeck semigroup in exterior domains
• L p -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle
• Generation of Analytic Semigroups by Elliptic Operators with Unbounded Coefficients
• Absence de principe du maximum pour certaines équations paraboliques complexes

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