Results 171 to 180 of about 19,755 (210)

On generation of C 0 semigroups and nonlinear operator semigroups

Semigroup Forum, 2002
This 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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NONLINEAR MARKOV SEMIGROUPS ON C*-ALGEBRAS

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013
A 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., Olkiewicz, R., Zegarlinski, B.   +2 more
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Analyticity of nonlinear semigroups

Israel Journal of Mathematics, 1989
The 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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Notes on Nonlinear Semigroups

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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Stochastic Differential Equations with Nonlinear Semigroups

ZAMM, 2002
Summary: The purpose of this article is to investigate the solution of a nonlinear stochastic evolution equation by using the theory of nonlinear semigroups. A concept of weak solutions is introduced and the existence, uniqueness, and continuity of this solution are shown.
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VOLTERRA INTEGRAL EQUATIONS AND NONLINEAR SEMIGROUPS

Nonlinear Analysis: Theory, Methods & Applications, 1977
Publisher Summary This chapter discusses Volterra integral equations and nonlinear semigroups. It presents the nonlinear Volterra integral equation x ( t ) = y ( t ) + ∫ g ( t − s , x ( s )) ds , t ≥ 0, where H is a Hilbert space, y : [0, ∞) → H is given, g : [0, ∞) × H → satisfies a Lipschitz condition in its second place, and x :
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Nonlinear semigroups analytic on sectors

2016
This 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, Matsumoto, Toshitaka, Oharu, Shinnosuke   +2 more
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Nonlinear Semigroups and Applications

1993
Our aim is to study problems which are governed by the abstract Cauchy problem $$ \begin{array}{*{20}{c}} {\frac{{du\left( t \right)}}{{dt}} = A\left( {u\left( t \right)} \right){\text{ }}t > 0} \\ {u\left( 0 \right) = f.} \end{array} $$ (ACP)
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Linear Extensions of Nonlinear Semigroups

2000
This note concerns extending a nonlinear semigroup to a linear one after identifying points with corresponding Dirac measures. Generators of such linear extensions are characterized. A linear extension and hence the original semigroup is recovered from this generator by means of an exponential formula.
J. R. Dorroh, J. W. Neuberger
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Nonlinear Semigroup for Controlled Partially Observed Diffusions

SIAM Journal on Control and Optimization, 1982
In this paper a “separated” control problem associated with controlled, partially observed diffusion processes is considered. The state in the separated problem is an unnormalized conditional distribution measure. The corresponding Nisio nonlinear semigroup associated with the separated problem is found.
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