Results 191 to 200 of about 1,584 (227)
A semigroup approach to nonlinear Lévy processes [PDF]
Stochastic Processes and Their Applications, 2020 We study the relation between Lévy processes under nonlinear expectations, nonlinear semigroups and fully nonlinear PDEs. First, we establish a one-to-one relation between nonlinear Lévy processes and nonlinear Markovian convolution semigroups. Second, we provide a condition on a family of infinitesimal generators $(A_λ)_{λ\inΛ}$ of linear Lévy ...
Robert Denk +2 more
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The semigroup associated with nonlinear age dependent population dynamics
Computers and Mathematics With Applications, 1983 The solutions of the equations of nonlinear age dependent population dynamics may be associated with a strongly continuous semigroup of nonlinear operators in the Banach space L1(0, ∞; Rn).
G F Webb
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Nonlinear matrix concentration via semigroup methods
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 ℓ₂ operator norm. This paper uses semigroup methods to derive sharp nonlinear matrix inequalities.
Joel A Tropp
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Analysis and asymptotic stability of uniformly Lipschitzian nonlinear semigroup systems
Journal of the Egyptian Mathematical Society, 2017 In this paper, we shall study the asymptotic stability analysis of a special kind of semigroup on D × D, namely, the uniformly Lipschitzian ...
, Essam O Abdel-Rahman
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B‐bounded nonlinear semigroups
Mathematical Methods in the Applied Sciences, 2010AbstractIn this paper we study the properties of a new one parameter family of nonlinear operators which is a generalization of B‐bounded linear semigroups. This family is constructed by means of a nonlinear operator A and a linear operator B. We give also examples of problems which can be solved by using such a family. Copyright © 2010 John Wiley &
LISI M., TOTARO S.
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Nonlinear semigroups analytic on sectors
Mathematical Journal of Okayama University, 1999This article deals with semigroups of bounded operators in a complex Banach space \(X\); these semigroups are defined and analytic on an open sector \(\Sigma= \{se^{i\phi}+ te^{i\psi}: s,t> 0\}\) in the complex plain \(\mathbb{C}\) and describe solutions of nonlinear evolution equations of type \[ {d\over d\xi} u(\xi)= Au(\xi)\quad (\xi\in \Sigma ...
Nakamura, Gen +2 more
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On generation of C 0 semigroups and nonlinear operator semigroups
Semigroup Forum, 2002This article presents new proofs (based on the theory of difference equations) of two classical theorems in the theory of semigroups of linear and nonlinear operators in a Banach space \(X\): the Hille-Phillips-Yosida theorem about generators of \(C_0\)-semigroups of bounded operators and the Crandall-Ligget theorem about generators of semigroups of ...
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1976
In this section we shall assemble some tools which are useful in the proofs of bifurcation theorems. We begin with some general properties of flows and semiflows (≡ nonlinear groups and nonlinear semigroups) following Chernoff-Marsden [1,2]. These include various important continuity and smoothness properties. Next, we give a basic criterion for when a
J. E. Marsden, M. McCracken
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In this section we shall assemble some tools which are useful in the proofs of bifurcation theorems. We begin with some general properties of flows and semiflows (≡ nonlinear groups and nonlinear semigroups) following Chernoff-Marsden [1,2]. These include various important continuity and smoothness properties. Next, we give a basic criterion for when a
J. E. Marsden, M. McCracken
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Analyticity of nonlinear semigroups
Israel Journal of Mathematics, 1989The Cauchy problemdu/dt =Au(t),u(0) =u 0∈D(A) has analytic solutions whenA has first and second Gateaux derivatives along the solution curve in a certain weak sense. HereA is a maximal monotone operator in a complex Hilbert space.
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NONLINEAR MARKOV SEMIGROUPS ON C*-ALGEBRAS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013A notion of a nonlinear quantum dynamical semigroup is introduced and discussed. Some sufficient conditions, expressed solely in terms of the duality map, in order that a multivalued mapping on a C*-algebra generates the nonlinear Markov semigroup are proposed.
Ługiewicz, P. +2 more
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