Results 111 to 120 of about 165 (138)

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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AMENABLE SEMIGROUPS OF NONLINEAR OPERATORS IN UNIFORMLY CONVEX BANACH SPACES

Bulletin of the Australian Mathematical Society, 2018
In 1965, Browder proved the existence of a common fixed point for commuting families of nonexpansive mappings acting on nonempty bounded closed convex subsets of uniformly convex Banach spaces. The purpose of this paper is to extend this result to left amenable semigroups of nonexpansive mappings.
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Analytic semigroups, degenerate elliptic operators and applications to nonlinear cauchy problems

Annali di Matematica Pura ed Applicata, 1989
The nonlinear problem \[ u_ t=\phi (\Theta (u))\Delta (\chi (u)),\quad x\text{ in } {\bar \Omega},\quad t\geq 0;\quad u(x,0)=u_ 0(x) \] is considered, where \(\Omega\) is a bounded domain in \({\mathbb{R}}^ n\) with \({\mathbb{C}}^{\infty}\) boundary. \(\phi\), \(\Theta\), \(\chi\) are smooth functions and \(u_ 0\) is positive and sufficiently regular.
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Convergence of a hybrid algorithm for a reversible semigroup of nonlinear operators in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2010
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Nonlinear Semigroups and Evolution Governed by Accretive Operators.

1984
Abstract : This is a review paper which outlines the main points of the theory of nonlinear semigroups and evolution governed by accretive operators. The subject is now rather mature, so most of the principal ideas and results are not new. However, the presentation here is organized differently from that in other sources and does touch upon recent ...
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Inertial Invariant Manifolds of a Nonlinear Semigroup of Operators in a Hilbert Space

Journal of Mathematical Sciences
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On conditions of weak convergence of nonlinear contraction semigroups and of iterative methods for accretive operators in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 1996
This paper relates to results of the authors about necessary and sufficient conditions are established for the strong convergence of the semigroup generated by an \(m\)-accretive operator \(A\) and of the steepest descent approximation process \[ x_{n+1}= x_n-t_nAx_n,\quad t_n\in\mathbb{R}^+,\quad \{t_n\}\not\in\ell^1 \] to a zero of a quasi-accretive ...
Jiang, Yao-Lin, Xu, Zong-Ben, Roach, G. F.   +2 more
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Global solutions for operator Riccati equations with unbounded coefficients: A non‐linear semigroup approach

Mathematical Methods in the Applied Sciences, 1995
AbstractLet X be a Banach space of real‐valued functions on [0, 1] and let ℒ(X) be the space of bounded linear operators on X. We are interested in solutions R:(0, ∞) → ℒ(X) for the operator Riccati equation where T is an unbounded multiplication operator in X and the Bi(t)'s are bounded linear integral operators on X.
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Maximal Accretive Operators, Nonlinear Nonexpansive Semigroups, and First-Order Evolution Equations

1990
In Chapter 30 we considered first-order evolution equations of the form (1) , with the operators A(t): V → V* and b(t) ∈ V* for all t ∈ ]0,T[. In this connection, “V ⊆ H ⊆ V*” is an evolution triple.
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Stability of iteration processes weakly convergent to stationary points of semigroups of nonlinear operators

Rendiconti del Circolo Matematico di Palermo Series 2
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