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

2023/11/01 by Mathias Wilke · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations

paper · pdf · doi:10.1007/s00013-023-01927-1

Abstract

Abstract In 2004, the article Maximal regularity for evolution equations in weighted L_p <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:math> - spaces by Prüss and Simonett (Arch Math 82:415–431, 2004) 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.

Cited by

• Discrete stochastic maximal regularity. [europepmc]

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