Results 121 to 130 of about 174,550,829 (158)
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Invariance of closed convex sets under semigroups of nonlinear operators in complex Hilbert spaces
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Product Formulas, Nonlinear Semigroups, and Accretive Operators
AbstractA special case of our main theorem, when combined with a known result of Brezis and Pazy, shows that in reflexive Banach spaces with a uniformly Gâteaux differentiable norm, resolvent consistency is equivalent to convergence for nonlinear contractive algorithms.
Simeon Reich
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Nonlinear Evolution Operators and Semigroups
This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations.
Pavel, Nicolae H
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Some of the next articles are maybe not open access.
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 ...
Chin-Yuan Lin
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On Generation of Nonlinear Operator Semigroups and Nonlinear Evolution Operators
Semigroup Forum, 2003The basic semigroup generation result in \textit{M. G. Crandall} and \textit{A. Pazy} [Isr. J. Math. 11, 57--94 (1972; Zbl 0249.34049)] is re-obtained via sequential arguments based on difference equations theory.
Chin-Yuan Lin
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Convergence and Approximation of Semigroups of Nonlinear Operators in Banach Spaces
AbstractA general convergence theorem for semigroups of nonlinear operators in a general Banach space is proved. It is then applied to obtain an approximation theorem for such semigroups. These results extend the previously known results for semigroups of linear operators in Banach space.
H Brezis, A Pazy
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Locally Lipschitz Continuous Perturbations of Linear Dissipative Operators and Nonlinear Semigroups [PDF]
Locally Lipschitz continuous perturbations of linear m m -dissipative operators in Banach spaces are considered from the ...
Shinnosuke Ôharu, Tadayasu Takahashi
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B-Bounded Nonlinear Semigroups
In 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.
Silvia Totaro
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