Global lower bound for the heat kernel of -Δ+\frac{𝑐}|𝑥|²

DOI10.1090/S0002-9939-00-05757-9zbMath0964.35024MaRDI QIDQ2701587

Qi S. Zhang

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Laplace-Beltrami operatorsingular Schrödinger operatorLaplacian on the Heisenberg group

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10)

Related Items (4)

Self-similar asymptotics of solutions to heat equation with inverse square potential ⋮ Existence and nonexistence results for higher-order semilinear evolution inequalities with critical potential ⋮ Heat kernel on manifolds with ends ⋮ Existence and nonexistence results for reaction-diffusion equations in product of cones

Cites Work

• Uniformly elliptic operators on Riemannian manifolds
• On the parabolic kernel of the Schrödinger operator
• \(L^ p\) norms of non-critical Schrödinger semigroups
• The Heat Equation with a Singular Potential
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