\(L_\infty\)-estimates for the torsion function and \(L_{\infty}\)-growth of semigroups satisfying Gaussian bounds

DOI10.1007/s11118-018-9701-yzbMath1428.35258arXiv1611.03676OpenAlexW3104621713MaRDI QIDQ2312626

Hendrik Vogt

Publication date: 17 July 2019

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03676

zbMATH Keywords

Schrödinger operatorstorsion functionGaussian upper bounds\(L_{\infty}\)-estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Spectral theory and eigenvalue problems for partial differential equations (35P99) Heat kernel (35K08)

Related Items

Spectral bounds for the torsion function ⋮ LOCALIZATION FOR THE TORSION FUNCTION AND THE STRONG HARDY INEQUALITY ⋮ Landscape approximation of the ground state eigenvalue for graphs and random hopping models ⋮ Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian ⋮ Improved upper bounds for the hot spots constant of Lipschitz domains ⋮ On a Pólya functional for rhombi, isosceles triangles, and thinning convex sets ⋮ On the \({ L}^{ p}\) norm of the torsion function ⋮ On the torsion function with mixed boundary conditions ⋮ On capacity and torsional rigidity ⋮ Conformal Skorokhod embeddings and related extremal problems ⋮ On efficiency and localisation for the torsion function ⋮ Approximating the ground state eigenvalue via the effective potential ⋮ Spectral upper bound for the torsion function of symmetric stable processes

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