Measurability and continuity conditions for nonlinear evolutionary processes-Reference-Cited by-同舟云学术

Measurability and continuity conditions for nonlinear evolutionary processes

Published:1976 Issue:2 Volume:55 Page:353-358
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ball John M.

Abstract

This paper generalizes to nonlinear evolutionary processes on a metric space the well-known results connecting measurability and continuity properties with respect to time of linear semigroups of continuous operators on a Banach space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-055-02/S0002-9939-1976-0415445-X/S0002-9939-1976-0415445-X.pdf

Reference21 articles.

1. Remarque sur l’équation fonctionelle 𝑓(𝑥+𝑦)=𝑓(𝑥)+𝑓(𝑦);Alexiewicz, A.;Fund. Math.,1945

2. H. Auerbach, Sur la relation lim_{ℎ_{𝑛}→0}𝑓(𝑥+ℎ_{𝑛})=𝑓(𝑥), Fund. Math. 11(1928), 193-197.

3. Continuity properties of nonlinear semigroups;Ball, J. M.;J. Functional Analysis,1974

4. S. Banach, Sur l’équation fonctionelle 𝑓(𝑥+𝑦)=𝑓(𝑥)+𝑓(𝑦), Fund. Math. 1(1920), 123-124.

5. P. R. Chernoff, A note on separate and joint continuity (to appear).

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. ON THE HYPERBOLIC RELAXATION OF THE CAHN–HILLIARD EQUATION IN 3D: APPROXIMATION AND LONG TIME BEHAVIOUR;Mathematical Models and Methods in Applied Sciences;2007-03

2. Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations;Mechanics: From Theory to Computation;2000

3. A survey of local existence theories for abstract nonlinear initial value problems;Lecture Notes in Mathematics;1989

4. Continuity of locally compact group actions with measurable orbit maps;Mathematische Zeitschrift;1980-02

5. Asymptotic Behavior of Solutions of Evolution Equations;Nonlinear Evolution Equations;1978