Complete second order linear differential operator equations in Hilbert space and applications in hydrodynamics

DOI10.1090/S0002-9947-04-03693-1zbMath1053.34059OpenAlexW1706388178MaRDI QIDQ4811898

Yuliya S. Pashkova, Christiane Tretter, Reinhard Mennicken, Nikolay Dmitrievich Kopachevsky

Publication date: 6 September 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03693-1

zbMATH Keywords

Cauchy problemblock operator matrix

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear differential equations in abstract spaces (34G20) Navier-Stokes equations (35Q30) Applications of operator theory to differential and integral equations (47N20)

Related Items

Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition ⋮ In memory of Nikolay Dmitrievich Kopachevsky, a mathematician and a human

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• The spectrum of unbounded operator matrices with non-diagonal domain
• Towards a ``Matrix theory for unbounded operator matrices
• Classes of linear operators. Vol. I
• Valeurs propres d'opérateurs définis par la restriction de systèmes variationnels à des sous-espaces
• Perturbation theory for linear operators.
• On the essential spectrum of matrix operators
• Essential spectrum of a system of singular differential operators and the asymptotic Hain–Lüst operator
• Operator matrices and reaction-diffusion systems
• Operator Interpretation of Resonances Arising in Spectral Problems for 2 × 2 Operator Matrices
• Systems of Singular Differential Operators of Mixed Order and Applications to 1 - Dimensional MHD Problems
• Investigation of a system of linear differential equations with random coefficients
• On the problem of small motions and normal oscillations of a viscous fluid in a partially filled container
• The Essential Spectrum of Some Matrix Operators
• Removal of the resolvent-like energy dependence from interactions and invariant subspaces of a total Hamiltonian
• Spectral Components of Selfadjoint Block Operator Matrices with Unbounded Entries
• Spectral Decomposition of Symmetric Operator Matrices
• Semigroups and cosine function of normal operators in Hilbert spaces