Sharp decay estimates of \(L^q\)-norms for nonnegative Schrödinger heat semigroups

DOI10.1016/j.jfa.2013.03.009zbMath1295.47043arXiv1310.8074OpenAlexW2021625009MaRDI QIDQ393060

Eiji Yanagida, Kazuhiro Ishige, Norisuke Ioku

Publication date: 16 January 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8074

zbMATH Keywords

radial potential\(L^p-L^q\)-estimatesquadratically decaying potentialSchrödinger heat semigroups

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for second-order parabolic equations (35K15) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items (8)

Large time behavior of solutions of the heat equation with inverse square potential ⋮ Besov spaces on open sets ⋮ Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations ⋮ Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups ⋮ Lp–Lq estimates for homogeneous operators ⋮ On a variational problem associated with a Hardy type inequality involving a mean oscillation ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. II ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces

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