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

By Evgeny V. Doktorov,Sergey B. Leble

This monograph systematically develops and considers the so-called "dressing technique" for fixing differential equations (both linear and nonlinear), a method to generate new non-trivial strategies for a given equation from the (perhaps trivial) answer of a similar or similar equation. all through, the textual content exploits the "linear adventure" of presentation, with certain cognizance given to the algebraic features of the most mathematical buildings and to useful principles of acquiring new solutions.

Show description

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

Similar functional analysis books

Functional Spaces for the Theory of Elliptic Partial Differential Equations (Universitext)

The idea of elliptic boundary difficulties is prime in research and the function of areas of weakly differentiable capabilities (also known as Sobolev areas) is vital during this idea as a device for analysing the regularity of the suggestions. This booklet deals at the one hand a whole conception of Sobolev areas, that are of primary significance for elliptic linear and non-linear differential equations, and explains nonetheless how the summary tools of convex research may be mixed with this thought to supply life effects for the recommendations of non-linear elliptic boundary difficulties.

Recent Progress in Functional Analysis: Proceedings of the International Functional Analysis Meeting on the Occasion of the 70th Birthday of Professor ... 2000 (North-Holland Mathematics Studies)

This lawsuits quantity comprises 32 articles on quite a few attention-grabbing parts ofpresent-day sensible research and its functions: Banach areas andtheir geometry, operator beliefs, Banach and operator algebras, operator andspectral concept, Frechet areas and algebras, functionality and series areas. The authors have taken a lot care with their articles and lots of papers presentimportant effects and techniques in lively fields of analysis.

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

This booklet addresses new questions relating to 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 strong issues, elevating new questions and providing new thoughts.

Sparse Approximation with Bases (Advanced Courses in Mathematics - CRM Barcelona)

This ebook systematically provides contemporary primary effects on grasping approximation with recognize to bases. prompted via a number of functions, the decade has noticeable nice successes in learning nonlinear sparse approximation. fresh findings have confirmed that greedy-type algorithms are compatible equipment of nonlinear approximation in either sparse approximation with admire to bases and sparse approximation with admire to redundant structures.

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

Example text

Download PDF sample

Rated 4.23 of 5 – based on 14 votes