Remarks on the generation of semigroups of nonlinear operators on p-Fréchet spaces, 0 < p < 1

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DOI:

https://doi.org/10.4067/S0719-06462011000200002

Abstract

In this paper we study the convergence properties of the Crandall-Liggett sequence , for A a nonlinear operator on some important non-locally convex F-spaces (called p-Fréchet spaces with 0 < p < 1) and the generation of the corresponding strongly continuous one-parameter nonlinear semigroups.

Keywords

p-Fréchet space , 0 < p < 1 , Cauchy problem , affine semigroup , nonlinear semigroup , Crandall-Liggett type theorem
  • Sorin G. Gal University of Oradea, Department of Mathematics, Str. Universitatii 1, 410087 Oradea, Romania.
  • Pages: 37–57
  • Date Published: 2011-06-01
  • Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal

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Published

2011-06-01

How to Cite

[1]
S. G. Gal, “Remarks on the generation of semigroups of nonlinear operators on p-Fréchet spaces, 0 < p < 1”, CUBO, vol. 13, no. 2, pp. 37–57, Jun. 2011.