Convex Analysis and Nonlinear Optimization: Theory and by Jonathan Borwein,Adrian S. Lewis

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

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

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

This e-book addresses new questions regarding the asymptotic description of converging energies from the perspective of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and sturdy issues, elevating new questions and providing new thoughts.

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 glossy tools and specifically the "generic chaining" to sure stochastic approaches. This tools permits particularly to get optimum bounds for Gaussian and Bernoulli approaches. functions are given to sturdy strategies, infinitely divisible procedures, matching theorems, the convergence of random Fourier sequence, of orthogonal sequence, and to sensible research.

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

This monograph bargains the reader a remedy of the idea of evolution PDEs with nonstandard development stipulations. This classification contains parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We boost tools for the research of such equations and current a close account of contemporary effects.