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

2023/09/12 by Mathias Wilke, Wilke, Mathias
Computer Science · Engineering · Mathematics · #35B40 #35K58 #35K59 #35K90 #35Q35 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2309.06024

openalex publication_date 2023/09/12 · openalex created_date 2023/09/14 · openalex updated_date 2026/07/28

Abstract

In 2004, the article "Maximal regularity for evolution equations in weighted L_p-spaces" by J. Prüss 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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