Results 41 to 50 of about 1,075,287 (378)

The Fourier transform and convolutions generated by a differential operator with boundary condition on a segment

, 2013
We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek, Tokmagambetov, Niyaz   +1 more
core   +1 more source

On operators with rational resolvent [PDF]

Proceedings of the American Mathematical Society, 1972
It is shown that a bounded linear operator T on a complex Banach space into itself has a rational resolvent if and only if every bounded linear operator which commutes with every bounded linear operator that commutes with T can be expressed as a polynomial in T.
openaire   +2 more sources

Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model

, 2015
We prove operator-norm resolvent convergence estimates for one-dimensional periodic differential operators with rapidly oscillating coefficients in the non-uniformly elliptic high-contrast setting, which has been out of reach of the existing ...
Cherednichenko, Kirill D., Kiselev, Alexander V.   +1 more
core   +1 more source

On non-normality and classification of amplification mechanisms in stability and resolvent analysis [PDF]

, 2017
We seek to quantify non-normality of the most amplified resolvent modes and predict their features based on the characteristics of the base or mean velocity profile.
Dawson, Scott T. M., McKeon, Beverley J., Rosenberg, Kevin, Symon, Sean   +3 more
core   +3 more sources

Nonlocal Problems for Fractional Differential Equations via Resolvent Operators

International Journal of Differential Equations, 2013
We discuss the continuity of analytic resolvent in the uniform operator topology and then obtain the compactness of Cauchy operator by means of the analytic resolvent method.
Zhenbin Fan, Gisèle Mophou
doaj   +1 more source

Relaxed resolvent operator for solving a variational inclusion problem

, 2016
In this paper, we introduce a new resolvent operator and we call it relaxed resolvent operator. We prove that relaxed resolvent operator is single-valued and Lipschitz continuous and finally we appropriate the solution of a variational inclusion problem ...
Iqbal Ahmad, Mijanur Rahaman, R. Ahmad
semanticscholar   +1 more source

LEVEL SETS OF THE RESOLVENT NORM OF A LINEAR OPERATOR REVISITED [PDF]

, 2014
It is proved that the resolvent norm of an operator with a compact resolvent on a Banach space $X$ cannot be constant on an open set if the underlying space or its dual is complex strictly convex.
E. Brian Davies, E. Shargorodsky
semanticscholar   +1 more source

The significant contribution of stochastic forcing to nonlinear energy transfer in resolvent analysis

Theoretical and Applied Mechanics Letters
Nonlinear energy transfer is represented through eddy viscosity and stochastic forcing within the framework of resolvent analysis. Previous investigations estimate the contribution of eddy-viscosity-enhanced resolvent operator to nonlinear energy ...
Youhua Wang, Ting Wu, Guowei He
doaj   +1 more source

Iterative Methods for Computing the Resolvent of the Sum of a Maximal Monotone Operator and Composite Operator with Applications

Mathematical Problems in Engineering, 2019
Total variation image denoising models have received considerable attention in the last two decades. To solve constrained total variation image denoising problems, we utilize the computation of a resolvent operator, which consists of a maximal monotone ...
Bao Chen, Yuchao Tang
semanticscholar   +1 more source

Resolvent estimates for the magnetic Schrödinger operator [PDF]

Analysis & PDE, 2014
We prove optimal high-frequency resolvent estimates for perturbations by large magnetic and electric ...
openaire   +3 more sources