Monotonicity properties of the Neumann heat kernel in the ball

DOI10.1016/j.jfa.2010.08.014zbMath1221.35179OpenAlexW2066598287MaRDI QIDQ610770

Mihai Pascu, Maria E. Gageonea

Publication date: 10 December 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.08.014

zbMATH Keywords

reflecting Brownian motionhot spots conjecture

Mathematics Subject Classification ID

Diffusion processes (60J60) Heat kernel (35K08)

Related Items (3)

A stochastic target approach to Ricci flow on surfaces ⋮ Monotonicity of the reflected Bessel transition density on the diagonal ⋮ On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content

Cites Work

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• Application of coupling methods to the Neumann eigenvalue problem
• Pathwise uniqueness for reflecting Brownian motion in Euclidean domains
• Efficient Markovian couplings: Examples and counterexamples.
• Scaling coupling of reflecting Brownian motions and the hot spots problem
• Mirror couplings and Neumann eigenfunctions
• Nonnegative ricci curvature and the brownian coupling property
• On Neumann eigenfunctions in lip domains
• The “hot spots” conjecture for domains with two axes of symmetry

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