Elliptic operators with unbounded diffusion coefficients perturbed by inverse square potentials in \(L^p\)-spaces

DOI10.3934/cpaa.2016040zbMath1369.47054arXiv1603.03350OpenAlexW3101721576MaRDI QIDQ334516

Abdelaziz Rhandi, Simona Fornaro, Federica Gregorio

Publication date: 1 November 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03350

zbMATH Keywords

coreHardy's inequalitydissipative and dispersive operatorinverse square potentialpositivity preserving \(C_0\)-semigroupunbounded diffusion

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) Linear differential equations in abstract spaces (34G10)

Related Items

Elliptic operators with unbounded diffusion and singular lower order terms in \(L^p\)-spaces, Fourth‐order Schrödinger type operator with unbounded coefficients in L²(ℝ^N), Some results on second-order elliptic operators with polynomially growing coefficients in \(L^p\)-spaces, Dirichlet parabolic problems involving Schrödinger type operators with unbounded diffusion and singular potential terms in unbounded domains, Instantaneous blowup and singular potentials on Heisenberg groups, Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials

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