On a class of elliptic operators with unbounded diffusion coefficients

DOI10.3934/eect.2014.3.671zbMath1302.47071OpenAlexW2315311638MaRDI QIDQ478988

Cristian Tacelli, Chiara Spina, Metafune, Giorgio

Publication date: 5 December 2014

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2014.3.671

zbMATH Keywords

analytic semigroupselliptic operatorsunbounded coefficientsgeneration results

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) One-parameter semigroups and linear evolution equations (47D06) Degenerate elliptic equations (35J70) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45)

Related Items (7)

Kernel estimates for Schrödinger type operators with unbounded coefficients and critical exponents ⋮ Elliptic operators with unbounded diffusion, drift and potential terms ⋮ Non-uniqueness for second order elliptic operators ⋮ Fourth‐order Schrödinger type operator with unbounded coefficients in L²(ℝ^N) ⋮ Kernel estimates for elliptic operators with unbounded diffusion, drift and potential terms ⋮ Some results on second-order elliptic operators with polynomially growing coefficients in \(L^p\)-spaces ⋮ Rellich and Calderón-Zygmund inequalities for an operator with discontinuous coefficients

Cites Work

• Heat kernel estimates for some elliptic operators with unbounded diffusion coefficients
• Maximal regularity in \(L^p(\mathbb R^N)\) for a class of elliptic operators with unbounded coefficients.
• Feller semigroups on \(\mathbb{R}^N\)
• Heat kernel estimates for an operator with unbounded diffusion coefficients in \(\mathbb R\) and \(\mathbb R^{2}\)
• Elliptic operators with unbounded diffusion and drift coefficients in \(L^p\)
• Generation results for elliptic operators with unbounded diffusion coefficients in \(L^p\)-and \(C_b\)-spaces
• A degenerate elliptic operator with unbounded diffusion coefficients
• Elliptic operators with unbounded diffusion coefficients in $L^p$ spaces
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Elliptic Partial Differential Equations of Second Order
• Homogeneous Calderón–Zygmund estimates for a class of second-order elliptic operators

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