Mirror couplings and Neumann eigenfunctions
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Publication:3520525
DOI10.1512/iumj.2008.57.3222zbMath1155.60036arXivmath/0607400OpenAlexW2130481342MaRDI QIDQ3520525
Publication date: 26 August 2008
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607400
General topics in linear spectral theory for PDEs (35P05) Brownian motion (60J65) Applications of stochastic analysis (to PDEs, etc.) (60H30)
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Simultaneous boundary hitting by coupled reflected Brownian motions ⋮ Monotonicity properties of the Neumann heat kernel in the ball ⋮ The hot spots conjecture on a class of domains in \(\mathbb R^n\) with \( n \geqslant 3\)
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