Partial Differential Equations and Functional Analysis

Harnack Inequality and Applications to Solutions of Biharmonic Equations.- Clément Interpolation and Its Role in Adaptive Finite Element Error Control.- Ergodic Properties of Reaction-diffusion Equations Perturbed by a Degenerate Multiplicative Noise.- Kolmogorov Operators of Hamiltonian Systems Perturbed by Noise.- Dirichlet Forms and Degenerate Elliptic Operators.- On R-boundedness of Unions of Sets of Operators.- On the Equation div u = g and Bogovskii’s Operator in Sobolev Spaces of Negative Order.- Renormalization of Interacting Diffusions: A Program and Four Examples.- Reduced Mihlin-Lizorkin Multiplier Theorem in Vector-valued L p Spaces.- Interpolation Spaces for Initial Values of Abstract Fractional Differential Equations.- Semilinear Elliptic Problems Associated with the Complex Ginzburg-Landau Equation.- Operator-valued Symbols for Elliptic and Parabolic Problems on Wedges.- Maximal L p-regularity and Long-time Behaviour of the Non-isothermal Cahn-Hilliard Equation with Dynamic Boundary Conditions.- Numerical Approximation of PDEs and Clément’s Interpolation.- On Prohorov’s Criterion for Projective Limits.- The H ?Holomorphic Functional Calculus for Sectorial Operators — a Survey.