On positivity, criticality, and the spectral radius of the shuttle operator for elliptic operators

DOI10.1215/S0012-7094-96-08518-XzbMath0901.35016OpenAlexW1530445765MaRDI QIDQ2564684

Yehuda Pinchover

Publication date: 12 November 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08518-x

zbMATH Keywords

positive solutionsnoncompact domainsminimal Green's function

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15)

Related Items (9)

Conditional gaugeability and subcriticality of generalized Schrödinger operators ⋮ Large time behavior of solutions of the heat equation with inverse square potential ⋮ Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups ⋮ Dirichlet parabolicity and \(\mathsf{L}^{1}\)-Liouville property under localized geometric conditions ⋮ Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon ⋮ Precise asymptotics of small eigenvalues of reversible diffusions in the metastable regime ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. II ⋮ Hot spots of solutions to the heat equation with inverse square potential ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces

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