Sharp Gaussian bounds and 𝐿^{𝑝}-growth of semigroups associated with elliptic and Schrödinger operators

DOI10.1090/S0002-9939-06-08430-9zbMath1113.47032OpenAlexW1480800167MaRDI QIDQ3419940

El Maati Ouhabaz

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08430-9

zbMATH Keywords

semigroupsSchrödinger operatorelliptic operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Estimates of eigenvalues in context of PDEs (35P15) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10) Applications of operator theory to differential and integral equations (47N20) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items (12)

Spectral multiplier theorems via \(H^\infty\) calculus and \(R\)-bounds ⋮ Rs-bounded H∞-calculus for sectorial operators via generalized Gaussian estimates ⋮ Besov spaces on open sets ⋮ Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators ⋮ Kernel and eigenfunction estimates for some second order elliptic operators ⋮ Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions II ⋮ Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions ⋮ Paley-Littlewood decomposition for sectorial operators and interpolation spaces ⋮ \(L_\infty\)-estimates for the torsion function and \(L_{\infty}\)-growth of semigroups satisfying Gaussian bounds ⋮ Interpolation theorems for self-adjoint operators ⋮ Hörmander functional calculus on UMD lattice valued \(L^p\) spaces under generalized Gaussian estimates

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