Linear and quasilinear evolution equations in the context of weighted $L_p$-spaces

Mathias Wilke

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arXiv · 2309.06024

Linear and quasilinear evolution equations in the context of weighted $L_p$-spaces

Mathias Wilke

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Abstract

In 2004, the article "Maximal regularity for evolution equations in weighted $L_p$-spaces" by J. Pr\"{u}ss and G. Simonett has been published in Archiv der Mathematik. We provide a survey of the main results of that article and outline some applications to semilinear and quasilinear parabolic evolution equations which illustrate their power.

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Mathias Wilke. 2023-09-12. Linear and quasilinear evolution equations in the context of weighted $L_p$-spaces. https://arxiv.org/abs/2309.06024

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