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

Mathias Wilke

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

Analysis of PDEs 2023-09-18 v2

Authors: Mathias Wilke

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.

Keywords

weighted L_p-spaces evolution equations maximal regularity semilinear parabolic equations quasilinear parabolic equations

Cite

@article{arxiv.2309.06024,
  title  = {Linear and quasilinear evolution equations in the context of weighted $L_p$-spaces},
  author = {Mathias Wilke},
  journal= {arXiv preprint arXiv:2309.06024},
  year   = {2023}
}

Comments

18 pages; some typos have been corrected

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