\(L^p\) norms of nonnegative Schrödinger heat semigroup and the large time behavior of hot spots
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Publication:765906
DOI10.1016/j.jfa.2011.12.024zbMath1252.35066OpenAlexW2048216109MaRDI QIDQ765906
Kazuhiro Ishige, Yoshitsugu Kabeya
Publication date: 22 March 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2011.12.024
Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for second-order parabolic equations (35K15)
Related Items (12)
Large time behavior of solutions of the heat equation with inverse square potential ⋮ Sharp decay estimates of \(L^q\)-norms for nonnegative Schrödinger heat semigroups ⋮ Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations ⋮ Local quasi-concavity of the solutions of the heat equation with a nonnegative potential ⋮ 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 ⋮ Hot spots of solutions to the heat equation with inverse square potential ⋮ Decay Rate of L q Norms of Critical Schrödinger Heat Semigroups ⋮ Asymptotic Expansions of Solutions of Fractional Diffusion Equations ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces
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