Hans Lewy Selecta : Volume 2

David Kinderlehrer

ISBN 10: 0817635246 / ISBN 13: 9780817635244

Published by Birkhäuser Boston, Birkhäuser Boston, 2001

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The work of Hans Lewy (1904--1988) has had a profound influence inthe direction of applied mathematics and partial differentialequations, in particular, from the late 1920s. Two of the particularsare well known. The Courant--Friedrichs--Lewy condition (1928), or CFLcondition, was devised to obtain existence and approximation results.This condition, relating the time and spatial discretizations forfinite difference schemes, is now universally employed in thesimulation of solutions of equations describing propagation phenomena.Lewy's example of a linear equation with no solution (1957), with itsattendant consequence that most equations have no solution, was notmerely an unexpected fact, but changed the viewpoint of the entirefield.Lewy made pivotal contributions in many other areas, for examplethe regularity theory of elliptic equations and systems, the MongeAmpSre Equation, the Minkowski Problem, the asymptotic analysis ofboundary value problems, and several complex variables. He was amongthe first to study variational inequalities. In much of his work, hisunderlying philosophy was that simple tools of function theory couldhelp one understand the essential concepts embedded in an issuealthough at a cost in generality. This approach was extremelysuccessful.In this two-volume work, most all of Lewy's papers are presentedin chronological order. They are preceded by several short essaysabout Lewy himself, prepared by Helen Lewy, Constance Reid, and DavidKinderlehrer, and commentaries on his work by Erhard Heinz, Peter LaxJean Leray, Richard MacCamy, Fran ois Treves, and Louis Nirenberg.Additionally, there are Lewy's own remarks on the occasion of hishonorary degree from the University of Bonn.

Seller Inventory # 9780817635244

Bibliographic Details

• Title: Hans Lewy Selecta : Volume 2
• Publisher: Birkhäuser Boston, Birkhäuser Boston
• Publication Date: 2001
• Language: English
• ISBN 10: 0817635246
• ISBN 13: 9780817635244
• Binding: Buch
• Condition: Neu
• Dimensions: 260W x 183H x 30D millimeters 260 millimeters width by 183 millimeters height by 30 millimeters depth
• Weight: 1070 grams

About this title

Synopsis

The work of Hans Lewy (1904--1988) has had a profound influence in the direction of applied mathematics and partial differential equations, in particular, from the late 1920s. Two of the particulars are well known. The Courant--Friedrichs--Lewy condition (1928), or CFL condition, was devised to obtain existence and approximation results. This condition, relating the time and spatial discretizations for finite difference schemes, is now universally employed in the simulation of solutions of equations describing propagation phenomena. Lewy's example of a linear equation with no solution (1957), with its attendant consequence that most equations have no solution, was not merely an unexpected fact, but changed the viewpoint of the entire field. Lewy made pivotal contributions in many other areas, for example, the regularity theory of elliptic equations and systems, the Monge-- AmpSre Equation, the Minkowski Problem, the asymptotic analysis of boundary value problems, and several complex variables. He was among the first to study variational inequalities. In much of his work, his underlying philosophy was that simple tools of function theory could help one understand the essential concepts embedded in an issue, although at a cost in generality. This approach was extremely successful. In this two-volume work, most all of Lewy's papers are presented, in chronological order. They are preceded by several short essays about Lewy himself, prepared by Helen Lewy, Constance Reid, and David Kinderlehrer, and commentaries on his work by Erhard Heinz, Peter Lax, Jean Leray, Richard MacCamy, Fran?ois Treves, and Louis Nirenberg. Additionally, there are Lewy's own remarks on the occasion of his honorary degree from the University of Bonn.