Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of $\mathbb R^{d}$

DOI10.4064/sm180611-10-1zbMath1448.35148arXiv1901.02851OpenAlexW2909175665MaRDI QIDQ5220134

Jacek Małecki, Krzystztof Stempak

Publication date: 10 March 2020

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

Full work available at URL: https://arxiv.org/abs/1901.02851

zbMATH Keywords

self-adjoint operatorfunctional calculusDirichlet Laplacianreflection principlesesquilinear formNeumann Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Heat kernel (35K08)

Related Items (4)

The Laplacian with mixed Dirichlet-Neumann boundary conditions on Weyl chambers ⋮ Discrete approximations to Dirichlet and Neumann Laplacians on a half-space and norm resolvent convergence ⋮ Hardy and BMO spaces on Weyl chambers ⋮ Finite reflection groups and symmetric extensions of Laplacian

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