On a parabolic equation with a singular lower order term. Part II: The Gaussian bounds

DOI10.1512/iumj.1997.46.1112zbMath0909.35054OpenAlexW2022044235MaRDI QIDQ4399328

Qi S. Zhang

Publication date: 28 July 1998

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/TOC/973.htm

zbMATH Keywords

Harnack inequalitysingular potentialsheat equations corresponding to some subelliptic operatorslocal boundedness and continuity of weak solutions

Mathematics Subject Classification ID

Related Items (14)

Higher-order parabolic Schrödinger operators on Lebesgue spaces ⋮ Sharp Gaussian estimates for heat kernels of Schrödinger operators ⋮ Kato classes for Lévy processes ⋮ Heat kernel and Riesz transform of Schrödinger operators ⋮ Heat kernel bounds and desingularizing weights. ⋮ Classes of time-dependent measures, non-homogeneous Markov processes, and Feynman-Kac propagators ⋮ Existence of nonnegative solutions for parabolic problem on Dirichlet forms ⋮ Majorization, 4G theorem and Schrödinger perturbations ⋮ The quantizing effect of potentials on the critical number of reaction-diffusion equations ⋮ Gaussian bounds for propagators perturbed by potentials ⋮ Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term ⋮ Nonautonomous Kato classes of measures and Feynman-Kac propagators ⋮ On the heat equation with a time-dependent singular potential ⋮ Classes of time-dependent measures and the behavior of Feynman-Kac propagators

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