General Perturbation of the Exponential Dichotomy for Evolution Equations

Authors

  • Hugo Leiva Universidad de los Andes. Departamento de Matemáticas

DOI:

https://doi.org/10.11606/resimeusp.v3i1.74847

Keywords:

Evolution equations, Skew-product semiflow

Abstract

In this paper we prove that the exponential dichotomy for evolution equations in Banach spaces is not destroyed, if we perturb the equation by "small" unbounded linear operator. This is done by employing skew-product semiflow technique and a perturbation principle from linear operator Theory. Finally, we apply these results a partial parabolic equation.

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Published

1997-03-17

Issue

Vol. 3 No. 1 (1997)

Section

Contents

License

Copyright (c) 1997 Hugo Leiva

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

General Perturbation of the Exponential Dichotomy for Evolution Equations. (1997). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 3(1), 1-12. https://doi.org/10.11606/resimeusp.v3i1.74847