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Nonlinear extension of the quantum dynamical semigroup [PDF]
Quantum, 2021 In this paper we consider deterministic nonlinear time evolutions satisfying so called convex quasi-linearity condition. Such evolutions preserve the equivalence of ensembles and therefore are free from problems with signaling.
Jakub Rembieliński, Paweł Caban
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Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems
Mathematics, 2021 We consider the Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a finite-dimensional
Alexandre Mauroy
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Controllability of Nonlinear Boundary Value Control Systems in Banach Spaces Using Schauder Fixed Point Theorem [PDF]
Engineering and Technology Journal, 2015 In this paper, sufficient conditions for controllability of nonlinear boundary value control system in Banach spaces are established. The results are obtained by using semigroup theory “compact semigroup”and some techniques of nonlinear functional ...
Naseif J. Al-Jawari, Imad N. Ahmed
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Nonlinear Analysis, 2022 The objective of our paper is to investigate the optimal control of semilinear population dynamics system with diffusion using semigroup theory. The semilinear population dynamical model with the nonlocal birth process is transformed into a standard ...
Rohit Patel +4 more
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Existence of Mild Solutions for Nonlocal Evolution Equations with the Hilfer Derivatives
Journal of Function Spaces, 2023 The existence of mild solutions for Hilfer fractional evolution equations with nonlocal conditions in a Banach space is investigated in this manuscript.
Abu Bakr Elbukhari, Zhenbin Fan, Gang Li
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Nonlinear matrix concentration via semigroup methods [PDF]
Electronic Journal of Probability, 2021 Matrix concentration inequalities provide information about the probability that a random matrix is close to its expectation with respect to the $l_2$ operator norm. This paper uses semigroup methods to derive sharp nonlinear matrix inequalities.
Huang, De, Tropp, Joel A.
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Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay
Journal of Inequalities and Applications, 2007 We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of ...
Hassane Bouzahir
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A Study on the Impact of Nonlinear Source Term in Black-Scholes Option Pricing Model
Abstract and Applied Analysis, 2022 In this work, we study the effect of nonlinear source term in Black-Scholes model by finding the solution of it. We use the mathematical concepts of existence and uniqueness to arrive the conclusion. The transformation of the nonlinear equation into heat
P. Sozhaeswari +3 more
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A semigroup approach to nonlinear Lévy processes [PDF]
Stochastic Processes and their Applications, 2020 22 ...
Denk, Robert +2 more
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Efficient Classical Simulation of Optical Quantum Circuits [PDF]
, 2002 We identify a broad class of physical processes in an optical quantum circuit that can be efficiently simulated on a classical computer: this class includes unitary transformations, amplification, noise, and measurements.
A. Peres +12 more
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