Cart
Free Shipping in the UK
Proud to be B-Corp

Hans Lewy Selecta David Kinderlehrer

Hans Lewy Selecta By David Kinderlehrer

Hans Lewy Selecta by David Kinderlehrer


£103.09
Condition - New
Only 2 left

Summary

The work of Hans Lewy (1904-1988) has had a profound influence in the direc tion of applied mathematics and partial differential equations, in particular, from the late 1920s.

Hans Lewy Selecta Summary

Hans Lewy Selecta: Volume 1 by David Kinderlehrer

The work of Hans Lewy (1904-1988) has had a profound influence in the direc tion of applied mathematics and partial differential equations, in particular, from the late 1920s. We are all familiar with two of the particulars. The Courant-Friedrichs Lewy condition (1928), or CFL condition, was devised to obtain existence and ap proximation 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. His 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 regu larity theory of elliptic equations and systems, the Monge-Ampere Equation, the Minkowski Problem, the asymptotic analysis of boundary value problems, and sev eral 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 us understand the essential concepts embedded in an issue, although at a cost in generality. This was extremely successful.

Table of Contents

to Volume 1.- [1] Uber einen Ansatz zur numerischen Losung von Randwertproblemen.- [3] Uber den analytischen Charakter der Losungen elliptischer Differentialgleichungen..- [4] Uber die Methode der Differenzengleichungen zur Losung von Variations- und Randwertproblemen.- [5] Uber das Anfangswertproblem bei einer hyperbolischen nichtlinearen partiellen Differentialgleichung zweiter Ordnung mit zwei unabhangigen Veranderlichen.- [6] Uber die Eindeutigkeit und das Abhangigkeitsgebiet der Losungen beim Anfangswertproblem linearer hyperbolischer Differentialgleichungen.- [7] On the Partial Difference Equations of Mathematical Physics.- [8] Das Anfangswertproblem einer beliebigen nichtlinearen hyperbolischen Differentialgleichung beliebiger Ordnung in zwei Variablen: Existenz, Eindeutigkeit und Abhangigkeitsbereich der Losung.- [9] Neuer Beweis des analytischen Charakters der Losungen elliptischer Differentialgleichungen.- [10] Sulla unicita della soluzione del problema di Cauchy per unequaztione ellitica del secondo ordine in due variabili.- [11] Eindeutigkeit der Losung des Anfangsproblems einer elliptischen Differentialgleichungen zweiter Ordnung in zwei Veranderlichen.- [12] Uber fortsetzbare Anfangsbedingungen bei hyperbolischen Differentialgleichungen in drei Veranderlichen.- [13] On convergence in length.- [14] A priori limitations for solutions of Monge-Ampere equations.- [15] Generalized integrals and differential equations.- [16] On the non-vanishing of the Jacobian in certain one-to-one mappings.- [17] A priori limitations for solutions of Monge-Ampere equations, II.- [18] On the existence of a closed convex surface realizing a given Riemannian metric.- [19] On differential geometry in the large, I (Minkowskis Problem).- [20] Generalizedintegrals and differential equations.- [21] A property of spherical harmonics.- [23] Water waves on sloping beaches.- [24] The dock problem.- [25] On the convergence of solutions of difference equations, Studies and Essays.- [26] Developments at the confluence of analytic boundary conditions.- [27] Developments at the confluence of analytic boundary conditions.- [28] On minimal surfaces with partially free boundary.- [29] On the boundary behavior of minimal surfaces.

Additional information

NPB9780817635237
9780817635237
0817635238
Hans Lewy Selecta: Volume 1 by David Kinderlehrer
New
Hardback
Birkhauser Boston Inc
2001-11-29
358
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Hans Lewy Selecta