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

Sorin G. Gal

doi:10.4067/S0719-06462011000200002

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

Authors

Sorin G. Gal University of Oradea, Department of Mathematics, Str. Universitatii 1, 410087 Oradea, Romania.

DOI:

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

Keywords:

p-Fréchet space, 0 < p < 1, Cauchy problem, affine semigroup, nonlinear semigroup, Crandall-Liggett type theorem

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.

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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.