Ebook: Partial Differential Equations and Functional Analysis: The Philippe Clément Festschrift

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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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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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.

Content:
Front Matter....Pages i-ix
Harnack Inequality and Applications to Solutions of Biharmonic Equations....Pages 1-26
Cl?ment Interpolation and Its Role in Adaptive Finite Element Error Control....Pages 27-43
Ergodic Properties of Reaction-diffusion Equations Perturbed by a Degenerate Multiplicative Noise....Pages 45-59
Kolmogorov Operators of Hamiltonian Systems Perturbed by Noise....Pages 61-71
Dirichlet Forms and Degenerate Elliptic Operators....Pages 73-95
On R-boundedness of Unions of Sets of Operators....Pages 97-111
On the Equation div u = g and Bogovskii’s Operator in Sobolev Spaces of Negative Order....Pages 113-121
Renormalization of Interacting Diffusions: A Program and Four Examples....Pages 123-136
Reduced Mihlin-Lizorkin Multiplier Theorem in Vector-valued L p Spaces....Pages 137-151
Interpolation Spaces for Initial Values of Abstract Fractional Differential Equations....Pages 153-168
Semilinear Elliptic Problems Associated with the Complex Ginzburg-Landau Equation....Pages 169-187
Operator-valued Symbols for Elliptic and Parabolic Problems on Wedges....Pages 189-208
Maximal L p-regularity and Long-time Behaviour of the Non-isothermal Cahn-Hilliard Equation with Dynamic Boundary Conditions....Pages 209-236
Numerical Approximation of PDEs and Cl?ment’s Interpolation....Pages 237-250
On Prohorov’s Criterion for Projective Limits....Pages 251-261
The H ?Holomorphic Functional Calculus for Sectorial Operators — a Survey....Pages 263-294

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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.

Content:
Front Matter....Pages i-ix
Harnack Inequality and Applications to Solutions of Biharmonic Equations....Pages 1-26
Cl?ment Interpolation and Its Role in Adaptive Finite Element Error Control....Pages 27-43
Ergodic Properties of Reaction-diffusion Equations Perturbed by a Degenerate Multiplicative Noise....Pages 45-59
Kolmogorov Operators of Hamiltonian Systems Perturbed by Noise....Pages 61-71
Dirichlet Forms and Degenerate Elliptic Operators....Pages 73-95
On R-boundedness of Unions of Sets of Operators....Pages 97-111
On the Equation div u = g and Bogovskii’s Operator in Sobolev Spaces of Negative Order....Pages 113-121
Renormalization of Interacting Diffusions: A Program and Four Examples....Pages 123-136
Reduced Mihlin-Lizorkin Multiplier Theorem in Vector-valued L p Spaces....Pages 137-151
Interpolation Spaces for Initial Values of Abstract Fractional Differential Equations....Pages 153-168
Semilinear Elliptic Problems Associated with the Complex Ginzburg-Landau Equation....Pages 169-187
Operator-valued Symbols for Elliptic and Parabolic Problems on Wedges....Pages 189-208
Maximal L p-regularity and Long-time Behaviour of the Non-isothermal Cahn-Hilliard Equation with Dynamic Boundary Conditions....Pages 209-236
Numerical Approximation of PDEs and Cl?ment’s Interpolation....Pages 237-250
On Prohorov’s Criterion for Projective Limits....Pages 251-261
The H ?Holomorphic Functional Calculus for Sectorial Operators — a Survey....Pages 263-294
....