Finite reflection groups and symmetric extensions of Laplacian

DOI10.4064/sm200423-19-11zbMath1480.35123arXiv2012.03045OpenAlexW3167423424MaRDI QIDQ5015411

Krzystztof Stempak

Publication date: 7 December 2021

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03045

zbMATH Keywords

Dirichlet LaplacianNeumann Laplacianself-adjoint extensions of the Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

The Laplacian with mixed Dirichlet-Neumann boundary conditions on Weyl chambers ⋮ Hardy and BMO spaces on Weyl chambers ⋮ Subroot systems and total positivity in finite reflection groups

Cites Work

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• Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
• Functional analysis, Sobolev spaces and partial differential equations
• Brownian motion in cones
• Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of $\mathbb R^{d}$

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