Function Spaces and Potential Theory (Grundlehren der by David R. Adams,Lars I. Hedberg

Nonlinear Smoothing and Multiresolution Analysis: 150 (International Series of Numerical Mathematics)

This monograph offers a brand new idea for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even though part of mathematical morphology, the specialproperties yield many straightforward, strong and illuminating resultsleading to a singular nonlinear multiresolution research with pulsesthat could be as normal to imaginative and prescient as wavelet research is toacoustics.

Local Minimization, Variational Evolution and Γ-Convergence (Lecture Notes in Mathematics)

This publication addresses new questions regarding the asymptotic description of converging energies from the viewpoint of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and strong issues, elevating new questions and featuring new concepts.

Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

The publication develops smooth equipment and specifically the "generic chaining" to sure stochastic procedures. This tools permits particularly to get optimum bounds for Gaussian and Bernoulli tactics. purposes are given to sturdy procedures, infinitely divisible approaches, matching theorems, the convergence of random Fourier sequence, of orthogonal sequence, and to useful research.

Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up (Atlantis Studies in Differential Equations)

This monograph deals the reader a remedy of the idea of evolution PDEs with nonstandard progress stipulations. This category comprises parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We increase equipment for the learn of such equations and current a close account of contemporary effects.