Local manifolds for non-autonomous boundary Cauchy problems: existence and attractivity-Reference-Cited by-同舟云学术

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Local manifolds for non-autonomous boundary Cauchy problems: existence and attractivity

Published:2022 Issue:3 Volume:9 Page:678-693
ISSN:2312-9794
Container-title:Mathematical Modeling and Computing
language:
Short-container-title:Math. Model. Comput.

Author:

Jerroudi A., ,Moussi M.,

Abstract

In this work we establish the existence of local stable and local unstable manifolds for nonlinear boundary Cauchy problems. Moreover, we illustrate our results by an application to a non-autonomous Fisher–Kolmogorov equation.

Publisher

Lviv Polytechnic National University

Subject

Computational Theory and Mathematics,Computational Mathematics

Reference17 articles.

1. Boulite S., Maniar L., Moussi M. Wellposedness and asymptotic behaviour of nonautonomous boundary Cauchy problems. Forum Mathematicum. 18 (4), 611-638 (2006).

2. Doan T. S., Moussi M., Siegmund S. Integral Manifolds of Nonautonomous Boundary Cauchy Problems. Journal of Nonlinear Evolution Equations and Applications. 2012 (1), 1-15 (2012).

3. Jerroudi A., Moussi M. Invariant centre manifolds of non-autonomous boundary Cauchy problems (under review).

4. Moussi M. Pullback Attractors of Nonautonomous Boundary Cauchy Problems. Nonlinear Dynamics and Systems Theory. 14 (4), 383-394 (2014).

5. Kellermann H. Linear evolution equations with time dependent domain. Semesterbericht Funktionalanalysis Tübingen, Wintersemester. 16-44 (1986-1987).

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