On the spectral stability of functional-differential equations

DOI10.1134/S0001434611110265zbMath1291.35148OpenAlexW2002018290MaRDI QIDQ2435883

Leonid E. Rossovskii

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611110265

zbMATH Keywords

Sobolev spaceBanach algebraboundary value problemHermitian formstar-shaped domainRiesz theoremsesquilinear formHilbert-Schmidt theoremelliptic functional-differential equationcontraction and dilatationinternal perturbation of a domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Partial functional-differential equations (35R10)

Related Items (3)

Elliptic functional differential equations with contractions and extensions of independent variables of the unknown function ⋮ On the effect of irregularity of the domain boundary on the solution of a boundary value problem for the Laplace equation ⋮ On a class of elliptic functional-differential equations with orthotropic contractions-expansions

Cites Work

• A global Lipschitz continuity result for a domain dependent Dirichlet eigenvalue problem for the Laplace operator
• Spectral stability of general non-negative selfadjoint operators with applications to Neumann-type operators
• Eigenvalue stability bounds via weighted Sobolev spaces
• Spectral stability of the Neumann Laplacian.
• Continuous dependence of eigenvalues on the domain
• Elliptic functional differential equations and applications
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