Premium
Non‐classical Eigenvalue Asymptotic for Elliptic Operators of Second Order in Unbounded Trumpet‐shaped Domains with Neumann Boundary Conditions
Author(s) -
Berger Günter
Publication year - 1993
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19931610125
Subject(s) - mathematics , elliptic operator , neumann boundary condition , eigenvalues and eigenvectors , mathematical analysis , boundary value problem , boundary (topology) , operator (biology) , dirichlet distribution , dirichlet boundary condition , affiliated operator , order (exchange) , dirichlet eigenvalue , von neumann's theorem , finite rank operator , dirichlet's principle , biochemistry , chemistry , physics , finance , repressor , quantum mechanics , transcription factor , economics , gene , banach space
The paper deals with spectral properties of elliptic operators of second order in irregular unbounded domains with cusps. The eigenvalue asymptotic of the operator with Neumann boundary conditions is proved. The eigenvalue asymptotic in these domains is different from that with Dirichlet boundary conditions.