Operator Theory

Advances and Applications

By: Erik Koelink (Editor), Jan M.A.M. van Neerven (Editor), Ben Pagter (Editor)

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Hardcover | 18 May 2006

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306 Pages

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24.13 x 17.78 x 1.91

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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 Cl©ment. It will be of interest to researchers in PDEs and functional analysis.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Differential Calculus & Equations Applied Mathematics

Preface	p. vii
Portrait of Philippe Clément	p. viii
Philippe Clément: Curriculum Vitae	p. ix
Harnack Inequality and Applications to Solutions of Biharmonic Equations	p. 1
Clément Interpolation and Its Role in Adaptive Finite Element Error Control	p. 27
Ergodic Properties of Reaction-diffusion Equations Perturbed by a Degenerate Multiplicative Noise	p. 45
Kolmogorov Operators of Hamiltonian Systems Perturbed by Noise	p. 61
Dirichlet Forms and Degenerate Elliptic Operators	p. 73
On R-boundedness of Unions of Sets of Operators	p. 97
On the Equation div u = g and Bogovski&ibreve;'s Operator in Sobolev Spaces of Negative Order	p. 113
Renormalization of Interacting Diffusions: A Program and Four Examples	p. 123
Reduced Mihlin-Lizorkin Multiplier Theorem in Vector-valued L^p Spaces	p. 137
Interpolation Spaces for Initial Values of Abstract Fractional Differential Equations	p. 153
Semilinear Elliptic Problems Associated with the Complex Ginzburg-Landau Equation	p. 169
Operator-valued Symbols for Elliptic and Parabolic Problems on Wedges	p. 189
Maximal L_p-regularity and Long-time Behavior of the Non-isothermal Cahn-Hilliard Equation with Dynamic Boundary Conditions	p. 209
Numerical Approximation of PDEs and Clément's Interpolation	p. 237
On Prohorov's Criterion for Projective Limits	p. 251
The H^∞ Holomorphic Functional Calculus for Sectorial Operators - a Survey	p. 263
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Operator Theory

Advances and Applications

At a Glance

Hardcover

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