The essential spectrum of boundary value problems for systems of differential equations in a bounded domain with a cusp

DOI10.1007/s10688-009-0005-2zbMath1271.35055OpenAlexW2082841324MaRDI QIDQ366187

Sergueï A. Nazarov

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-009-0005-2

zbMATH Keywords

cuspcontinuousessentialpeakand discrete spectraself-adjoint system of differential equations with the polynomial property

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05)

Related Items (6)

Existence and nonuniqueness of solutions to a functional-differential equation ⋮ A system of elliptic equations for probability measures ⋮ Non-stationary Navier-Stokes equations in \(2D\) power cusp domain. I: Construction of the formal asymptotic decomposition ⋮ ON SINGULAR SOLUTIONS OF THE STATIONARY NAVIER-STOKES SYSTEM IN POWER CUSP DOMAINS ⋮ On singular solutions of the initial boundary value problem for the Stokes system in a power cusp domain ⋮ On singular solutions of time-periodic and steady Stokes problems in a power cusp domain

Cites Work

• Weighted Korn inequalities in paraboloidal domains
• Self-adjoint elliptic boundary-value problems. The polynomial property and formally positive operators
• Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
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