Evolution PDEs with Nonstandard Growth Conditions: by Stanislav Antontsev,Sergey Shmarev

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

This monograph provides a brand new concept for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even supposing part of mathematical morphology, the specialproperties yield many straightforward, robust and illuminating resultsleading to a unique nonlinear multiresolution research with pulsesthat might be as usual 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 on the topic of 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 offering 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 booklet develops sleek equipment and particularly the "generic chaining" to certain stochastic tactics. This tools permits specifically to get optimum bounds for Gaussian and Bernoulli methods. purposes are given to strong strategies, infinitely divisible methods, 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 deals the reader a therapy of the speculation of evolution PDEs with nonstandard development stipulations. This type contains parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We increase tools for the research of such equations and current a close account of modern effects.