General Perturbation of the Exponential Dichotomy for Evolution Equations

Autores

  • Hugo Leiva Departamento de Matematicas, Universidad de los Andes

DOI:

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

Palavras-chave:

Evolution equations, Skew-product semiflow

Resumo

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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Como Citar

General Perturbation of the Exponential Dichotomy for Evolution Equations. (2014). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 3(1), 1-12. https://doi.org/10.11606/resimeusp.v3i1.74847