Results 51 to 60 of about 1,194 (210)
Demonstratio Mathematica, 2017 We consider a bounded linear operator A in a Hilbert space with a Hilbert-Schmidt Hermitian component (A − A*)/2i. A sharp norm estimate is established for functions of A nonregular on the convex hull of the spectrum. The logarithm, fractional powers and
Gil’ Michael
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On the Variational Principles of Linear and Nonlinear Resolvent Analysis [PDF]
, 2022 Despite decades of research, the accurate and efficient modeling of turbulent flows remains a challenge. However, one promising avenue of research has been the resolvent analysis framework pioneered by McKeon and Sharma (2010) which interprets the ...
Barthel, Benedikt
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Correspondence between Koopman mode decomposition, resolvent mode decomposition, and invariant solutions of the Navier-Stokes equations [PDF]
, 2016 The relationship between Koopman mode decomposition, resolvent mode decomposition, and exact invariant solutions of the Navier-Stokes equations is clarified.
Sharma, Ati +3 more
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MATEC Web of Conferences, 2016 This work is devoted to get Jost solution by the method of variation of parameters and properties of this Jost solution of a boundary value problem (BVP) depending on an hyperbolic eigenparameter.
Aygar Yelda
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Resolvent Convergence for Differential–Difference Operators with Small Variable Translations
Mathematics, 2023 We consider general higher-order matrix elliptic differential–difference operators in arbitrary domains with small variable translations in lower-order terms.
Denis Ivanovich Borisov +1 more
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Hill's equation for a homogeneous tree
Electronic Journal of Differential Equations, 1997 The analysis of Hill's operator $-D^2 + q(x)$ for $q$ even and periodic is extended from the real line to homogeneous trees ${cal T}$. Generalizing the classical problem, a detailed analysis of Hill's equation and its related operator theory on $L^2({cal
Robert Carlson
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Resolvent Means and Inverting Generalized Fourier Transforms
, 1986 Let S-L denote a singular Sturm-Liouville system on the half line with homogeneous boundary conditions, possessing a discrete negative and continuous positive spectrum.
Louise A. Raphael
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On the relevance of Reynolds stresses in resolvent analyses of turbulent wall-bounded flows
, 2019 International audienceThe ability of linear stochastic response analysis to estimate coherent motions is investigated in turbulent channel flow at friction Reynolds number Re τ = 1007. The analysis is performed for spatial scales characteristic of buffer-
Semeraro, Onofrio +3 more
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New Type of Sturm-Liouville Problems in Associated Hilbert Spaces
Journal of Function Spaces, 2014 We introduce a new type of discontinuous Sturm-Liouville problems, involving an abstract linear operator in equation. By suggesting own approaches we define some new Hilbert spaces to establish such properties as isomorphism, coerciveness, and maximal ...
O. Sh. Mukhtarov, K. Aydemir
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On a non-self-adjoint Sturm–Liouville problem: spectral and inverse analysis
Boundary Value ProblemsIn this paper, we study a Sturm–Liouville boundary value problem with a complex-valued potential represented by an absolutely convergent Fourier series.
Rakib F. Efendiev +2 more
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