Methods of Spectral Analysis in Mathematical Physics: by Jan Janas,Pavel Kurasov,A. Laptev,Sergei Naboko,Gunter Stolz

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

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

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

This booklet addresses new questions on the topic of 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 reliable issues, elevating new questions and featuring new options.

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 sleek tools and specifically the "generic chaining" to certain stochastic techniques. This equipment permits specifically to get optimum bounds for Gaussian and Bernoulli strategies. functions are given to strong approaches, infinitely divisible procedures, matching theorems, the convergence of random Fourier sequence, of orthogonal sequence, and to practical research.

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

This monograph bargains the reader a therapy of the speculation of evolution PDEs with nonstandard development stipulations. This classification contains parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We enhance tools for the examine of such equations and current an in depth account of modern effects.