Gaussian bounds of heat kernels for Schrödinger operators on Riemannian manifolds

DOI10.1112/blms/bdl016zbMath1111.60059OpenAlexW2024903912WikidataQ115257417 ScholiaQ115257417MaRDI QIDQ3429612

Masayoshi Takeda

Publication date: 2 April 2007

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdl016

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Schrödinger operator, Schrödinger equation (35J10) Right processes (60J40)

Related Items (12)

A spectral multiplier theorem associated with a Schrödinger operator ⋮ Scattering for a nonlinear Schrödinger equation with a potential ⋮ Asymptotic behavior of the fundamental solutions for critical Schrödinger forms ⋮ Riesz transforms of Schrödinger operators on manifolds ⋮ Stability of estimates for fundamental solutions under Feynman-Kac perturbations for symmetric Markov processes ⋮ Heat kernel and Riesz transform of Schrödinger operators ⋮ Global well-posedness below the ground state for the nonlinear Schrödinger equation with a linear potential ⋮ Ergodic-type limit theorem for fundamental solutions of critical Schrödinger operators ⋮ The Hodge-de Rham Laplacian and \(L^p\)-boundedness of Riesz transforms on non-compact manifolds ⋮ Gaussian heat kernel estimates: from functions to forms ⋮ On gradient estimates for heat kernels ⋮ Large time asymptotics of Feynman-Kac functionals for symmetric stable processes

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