## Partial Differential Equations and Functional Analysis: The Philippe Clément FestschriftErik Koelink, Jan M.A.M. van Neerven, Ben de Pagter, G. H. Sweers Capturing the state of the art of the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this volume was initiated at the Delft conference on the occasion of the retirement of Philippe Clément. It will be of interest to researchers in PDEs and functional analysis. |

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a e Q apply assume assumption AStA Banach space bounded Hº-calculus boundedness coefficients compact constant convergence D(JF defined denote DF(u Differential Equations Dirichlet form domain eaſists elliptic operators error estimate exists finite element methods follows functional calculus H∞-calculus Harnack inequality Hence Hilbert space Hölder Hölder continuous Hölder inequality inequality integral interpolation kernel Lemma linear Lipschitz Lipschitz continuous Lipschitz domain LP(Q LP(R Math Mathematics maximal regularity measure Moreover multiplier theorems Neumann boundary conditions nonlinear norm obtain p e D(8 Philippe Clément posteriori error problem projective limit proof Proposition prove Prüss R-bounded R-boundedness R-sectorial Radon measure renormalization result satisfies Section sectorial operator semigroup ſh Lee Sobolev spaces solution stochastic subset Theorem 3.1 UMD spaces unique