Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations

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On quasilinear parabolic evolution equations in weighted Lp-spaces (2009, methodology): “ by (1.1). A theory based on function spaces with weights has been used in [6] in order to treat functions with a singularity at t = 0. This approach has been further developed in the papers [23] and [10], which are based on maximal regularity in continuous interpolation spaces. In particular, the a”
Sharp embedding results for spaces of smooth functions with power weights (2011, background): “For evolution equations, power weights in time play an important role in order to obtain results for rough initial data (see [11, 20, 25, 31]).”
Quasilinear parabolic problems via maximal regularity (2005, result): “We also refer to Clément and Simonett [10] for a study of (0.1) using maximal regularity in continuous interpolation spaces, extending and improving on earlier results of Da Prato and Grisvard [11] and Angenent [7], as well as to the book by Lunardi [14] who bases her studies on maximal regularity ”
Maximal regularity for evolution equations in weighted Lp-spaces (2004, methodology): “For this theory we refer to the papers of Angenent [2] and Clément and Simonett [4], as well as to the monograph of Amann [1].”