A Dressing Method in Mathematical Physics: 28 (Mathematical by Evgeny V. Doktorov,Sergey B. Leble

By Evgeny V. Doktorov,Sergey B. Leble

This monograph systematically develops and considers the so-called "dressing process" for fixing differential equations (both linear and nonlinear), a way to generate new non-trivial ideas for a given equation from the (perhaps trivial) answer of an identical or similar equation. all through, the textual content exploits the "linear event" of presentation, with specific consciousness given to the algebraic features of the most mathematical buildings and to sensible principles of acquiring new solutions.

Show description

Read or Download A Dressing Method in Mathematical Physics: 28 (Mathematical Physics Studies) PDF

Best functional analysis books

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

This monograph provides a brand new thought for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even supposing part of mathematical morphology, the specialproperties yield many easy, robust and illuminating resultsleading to a singular nonlinear multiresolution research with pulsesthat will be as typical 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 providing new strategies.

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 ebook develops smooth equipment and specifically the "generic chaining" to certain stochastic approaches. This equipment permits particularly to get optimum bounds for Gaussian and Bernoulli tactics. functions are given to reliable 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 deals the reader a therapy of the speculation of evolution PDEs with nonstandard progress stipulations. This classification contains parabolic and hyperbolic equations with variable or anisotropic nonlinear constitution. We improve tools for the examine of such equations and current a close account of modern effects.

Extra info for A Dressing Method in Mathematical Physics: 28 (Mathematical Physics Studies)

Example text

Download PDF sample

Rated 4.95 of 5 – based on 27 votes