Results 11 to 20 of about 218,478 (262)
Mode Decomposition Evolution Equations [PDF]
Journal of Scientific Computing, 2011 Partial differential equation (PDE) based methods have become some of the most powerful tools for exploring the fundamental problems in signal processing, image processing, computer vision, machine vision and artificial intelligence in the past two decades. The advantages of PDE based approaches are that they can be made fully automatic, robust for the
Yang Wang 0020 +2 more
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Evolution Equations in Hilbert Spaces via the Lacunae Method
Fractal and Fractional, 2022 In this paper, we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation.
Maksim V. Kukushkin
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Note on the spectral theorem for unbounded non-selfadjoint operators
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 In this paper, we deal with non-selfadjoint operators with the compact resolvent. Having been inspired by the Lidskii idea involving a notion of convergence of a series on the root vectors of the operator in a weaker – Abel-Lidskii sense, we proceed ...
Kukushkin, M.V.
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Controllability of Evolution Equations with Memory [PDF]
SIAM Journal on Control and Optimization, 2017 This article is devoted to studying the null controllability of evolution equations with memory terms. The problem is challenging not only because the state equation contains memory terms but also because the classical controllability requirement at the final time has to be reinforced, involving the contribution of the memory term, to ensure that the ...
Felipe Wallison Chaves Silva +2 more
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Axioms, 2023 The goal of this dissertation is to explore a system of fractional evolution equations with infinitesimal generator operators and an infinite time delay with non-local conditions. It turns out that there are two ways to regulate the solution.
Ahmed Salem, Kholoud N. Alharbi
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Известия Иркутского государственного университета: Серия "Математика", 2019 We investigates the unique solvability of a class of linear inverse problems with a time-independent unknown coefficient in an evolution equation in Banach space, which is resolved with respect to the fractional Gerasimov – Caputo derivative.
V.E. Fedorov, A. V. Nagumanova
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Inverse Problems for Degenerate Fractional Integro-Differential Equations
Mathematics, 2020 This paper deals with inverse problems related to degenerate fractional integro-differential equations in Banach spaces. We study existence, uniqueness and regularity of solutions to the problem, claiming to extend well known studies for the case of non ...
Mohammed Al Horani +3 more
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Phenomenology of Large Nc QCD, 2002 15 pages, LaTeX, 4 figures; Talk given at the workshop on The Phenomenology of Large-N QCD, Tempe, AZ, January 9-11 ...
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Existence of solutions for delay evolution equations with nonlocal conditions
Open Mathematics, 2017 In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results ...
Zhang Xuping, Li Yongxiang
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Generalized Mehler Semigroup on White Noise Functionals and White Noise Evolution Equations
Mathematics, 2020 In this paper, we study a representation of generalized Mehler semigroup in terms of Fourier–Gauss transforms on white noise functionals and then we have an explicit form of the infinitesimal generator of the generalized Mehler semigroup in terms of the ...
Un Cig Ji, Mi Ra Lee, Peng Cheng Ma
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