Moving Interfaces and Quasilinear Parabolic Evolution Equations

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Critical spaces for quasilinear parabolic evolution equations and applications (2017, background): “[17] J. Prüss, G. Simonett, Moving Interfaces and Quasilinear Parabolic Evolution Equations.”
The stokes equation in the Lp-setting: Well-posedness and regularity properties (2018, methodology): “, [165]) and moving contact lines (see, e.”
Time fractional diffusion equations: solution concepts, regularity, and long-time behavior (2019, background): “ into X. For an interval J ⊂ R, s > 0, p ∈ (1,∞) and a UMD space X, by Hs p(J;X) and Bs pp(J;X) we mean the vector-valued Bessel potential space resp. Besov space of X-valuedfunctions onJ, seee.g. [35, 51]. ForT > 0and s ∈ (0,1]weset 0Hs p((0,T);X) = {gs∗h : h ∈ L2(J;X)}. Note that for s ∈ (1/”