\(L^p\)-spectral independence of Neumann Laplacians on horn-shaped domains

DOI10.1007/s00028-019-00555-zzbMath1462.35214OpenAlexW2995313153MaRDI QIDQ2021522

Kouhei Matsuura

Publication date: 27 April 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-019-00555-z

zbMATH Keywords

Dirichlet formreflecting Brownian motion\(L^p\) spectrumNeumann Laplacianspectral independence

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05)

Uses Software

• MathOverflow

Cites Work

• Dirichlet forms and symmetric Markov processes.
• Doubly Feller property of Brownian motions with Robin boundary condition
• Transcience/recurrence for normally reflected Brownian motion in unbounded domains
• Spectral properties of Neumann Laplacian of horns
• Gaussian estimates and interpolation of the spectrum in \(L^ p\)
• \(L_p\)-spectral properties of the Neumann Laplacian on horns, comets and stars
• On a strict decomposition of additive functionals for symmetric diffusion processes
• Geometric ergodicity and the spectral gap of non-reversible Markov chains
• Traps for reflected Brownian motion
• Sets of Finite Perimeter and Geometric Variational Problems
• ON THE APPROXIMATION NUMBERS OF SOBOLEV EMBEDDINGS FOR IRREGULAR DOMAINS
• L ^p Spectral Independence and L ¹ Analyticity
• On the stochastic regularity of distorted Brownian motions
• \(L^p\)-independence of spectral bounds of Schrödinger-type operators with non-local potentials

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