On quasilinear parabolic evolution equations in weighted Lp-spaces

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Traces and embeddings of anisotropic function spaces (2012, unknown): “This can be used to show an intrinsic smoothing effect of the parabolic problem and compactness of the semiflow, which is an important property for the investigation of the long-time behavior of solutions (see [23, 32]).”
On quasilinear parabolic evolution equations in weighted Lp-spaces II (2009, methodology): “Our study of abstract quasi-linear parabolic problems in time-weighted Lp-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity.”
Critical spaces for quasilinear parabolic evolution equations and applications (2017, background): “[10] M. Köhne, J. Prüss, and M. Wilke, On quasilinear parabolic evolution equations in weighted Lp-spaces.”
Maximal Regularity for Non-autonomous Equations with Measurable Dependence on Time (2014, methodology): “We extend the result of [14] and [81] (see [59] for the weighted setting) to the case of time-dependent operators A without continuity assumptions.”
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]).”