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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 derMathematik. We provide a survey of the main results of that article and outlinesome applications to semilinear and quasilinear parabolic evolution equationswhich illustrate their power.

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