Partial Differential Equations V

Asymptotic Methods for Partial Differential Equations

M.V. Fedoryuk

248 pages, parution le 01/12/1998

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Résumé

The six articles in this EMS volume provide an overview of a number of contemporary techniques in the study of the asymptotic behavior of partial differential equations. These techniques include the Maslov canonical operator, semiclassical asymptotics of solutions and eigenfunctions, behavior of solutions near singular points of different kinds, matching of asymptotic expansions close to a boundary layer, and processes in inhomogeneous media. Asymptotic expansions are one of the most important areas in the theory of partial differential equations. Readers should find the wide variety of approaches of interest.

Contents

Equations with Rapidly Oscillating Solutions by M.V.Fedoryuk;
Asymptotic Development as t of the Solutions of Exterior Boundary Value Problems for Hyperbolic Equations by B.R.Vainberg;
The Higher-Dimensional WKB method or the Ray Method. Its Analogues and Generalizations by V.M.Babich;
Semiclassical Asymptotics of Eigenfunctions by V.F.Lazutkin;
The Boundary Layer by A.M.Il'in;
The Averaging Method for Partial Differential Equations and its Applications by N.S.Bakhvalov, G.P.Panasenko, and A.L.Shtaras

Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	M.V. Fedoryuk
Parution	01/12/1998
Nb. de pages	248
Format	16 x 24
Couverture	Relié
Poids	494g
Intérieur	Noir et Blanc
EAN13	9783540533719