On the convergence of nonlinear semi-groups
Isao Miyadera,Isao Miyadera +1 more
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This article is published in Tohoku Mathematical Journal.The article was published on 1969-01-01 and is currently open access. It has received 12 citations till now. The article focuses on the topics: Compact convergence & Normal convergence.read more
Citations
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Journal ArticleDOI
Convergence and approximation of semigroups of nonlinear operators in Banach spaces
TL;DR: In this paper, a general convergence theorem for semigroups of nonlinear operators in a general Banach space is proved, which is then applied to obtain an approximation theorem for such groups.
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Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics
TL;DR: In this paper, it was shown that solutions of the pair of equations "2, 2 2 2* u = aux + a. [v − u ], a a constant, approximate the solutions of ut = yÁ(d2/dx2) log u as o.
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Semigroups of nonlinear contractions on convex sets
TL;DR: In this article, the authors studied the behavior of semigroups of nonlinear contractions on closed convex subsets of a Hilbert space H. The first results in this direction were obtained by Neuberger [25] and oharu [26] dealt mainly with the representation of such semigroup by means of exponential formulas.
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Approximation of semi-groups of nonlinear operators
Isao Miyadera,Shinnosuke Oharu +1 more
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Differential equations in a Banach space
S. G. Krein,M. I. Khazan +1 more
TL;DR: A systematic survey of the theory of linear evolution equations in Banach spaces, reviewed in the period 1968-1982 in Ref Zh Matematika, is presented in this paper, with a focus on linear evolution.
References
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Book
Functional Analysis And Semi-Groups
Einar Hille,R. S. Phillips +1 more
TL;DR: The theory of semi-groups has been studied extensively in the literature, see as discussed by the authors for a survey of some of the main applications of semi groups in the context of functional analysis.
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Nonlinear semi-groups in Hilbert space
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Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
TL;DR: In this article, the existence theory of solutions for the initial value problem for nonlinear equations of evolution of the form (2) du/di + T(t)u(t), = ƒ(/, u(t)) (t è 0)