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Non-autonomous right and left multiplicative perturbations and maximal regularity

2018; Polish Academy of Sciences; Volume: 242; Issue: 1 Linguagem: Inglês

10.4064/sm8721-6-2017

ISSN

1730-6337

Autores

Mahdi Achache, El Maati Ouhabaz,

Tópico(s)

Spectral Theory in Mathematical Physics

Resumo

We consider the problem of maximal regularity for non-autonomous Cauchy problems $$ u'(t) + B(t) A(t) u(t) + P(t) u(t) = f(t), \ \hskip 1em u(0) = u_0, $$ and $$ u'(t) + A(t) B(t) u(t) + P(t) u(t) = f(t), \ \hskip 1em u(0) = u_0. $$ In both cases, the tim

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