OBSERVATIONS ON GAUSSIAN UPPER BOUNDS FOR NEUMANN HEAT KERNELS

DOI10.1017/S0004972715000611zbMath1342.58012arXiv1502.06740MaRDI QIDQ3458382

Laurent Kayser, El Maati Ouhabaz, Mourad Choulli

Publication date: 18 December 2015

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

Full work available at URL: https://arxiv.org/abs/1502.06740

zbMATH Keywords

upper boundNeumann heat kernelcomplete Riemannian manifold

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)

Related Items (8)

A remark on the Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator ⋮ Besov spaces generated by the Neumann Laplacian ⋮ Neumann Li-Yau gradient estimate under integral Ricci curvature bounds ⋮ Product formulas and convolutions for Laplace-Beltrami operators on product spaces: beyond the trivial case ⋮ Chemical reaction-diffusion networks: convergence of the method of lines ⋮ A VOLATILITY-OF-VOLATILITY EXPANSION OF THE OPTION PRICES IN THE SABR STOCHASTIC VOLATILITY MODEL ⋮ Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria ⋮ Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions

Cites Work

• A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces
• On the parabolic kernel of the Schrödinger operator
• Plancherel-type estimates and sharp spectral multipliers
• Variation and optimization of formes. A geometric analysis
• L ^p Spectral Independence and L ¹ Analyticity
• Pseudo-Poincaré Inequalities and Applications to Sobolev Inequalities
• Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem

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