The Laplacian with mixed Dirichlet-Neumann boundary conditions on Weyl chambers

DOI10.1016/j.jde.2022.05.005zbMath1490.35194OpenAlexW4280620762MaRDI QIDQ2141681

Krzystztof Stempak

Publication date: 25 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.05.005

zbMATH Keywords

root systemfinite reflection group\( \eta \)-heat kernel and semigroup\( \eta \)-Poisson kernel and semigroupmixed Neumann-Dirichlet initial-boundary value problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) Linear symmetric and selfadjoint operators (unbounded) (47B25) Heat kernel (35K08)

Related Items (1)

Hardy and BMO spaces on Weyl chambers

Cites Work

• Dirichlet and Neumann boundary conditions: what is in between?
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Finite reflection groups and symmetric extensions of Laplacian
• Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of $\mathbb R^{d}$
• Reflection groups and invariant theory
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