عنوان

Seminar on New Results in Nonlinear Partial Differential Equations

(Number (ISBN

9783322850492

(Number (ISBN

9783322850515

Number

b406378

Title Proper

Seminar on New Results in Nonlinear Partial Differential Equations

General Material Designation

[Book]

Other Title Information

A Publication of the Max-Planck-Institut für Mathematik, Bonn /

First Statement of Responsibility

by Anthony J. Tromba.

Place of Publication, Distribution, etc.

Wiesbaden :

Name of Publisher, Distributor, etc.

Vieweg+Teubner Verlag,

Date of Publication, Distribution, etc.

1987.

Series Title

Aspects of Mathematics / Aspekte der Mathematik,

Volume Designation

10

ISSN of Series

0179-2156 ;

Text of Note

Twisted Tori of Constant Mean Curvature in R3 -- Old and New Doubly Periodic Solutions of the Sinh-Gordon Equation -- Global Existence of Small Amplitude Solutions to Nonlinear Klein-Gordon Equations in Four Space-Time Dimensions -- Global Existence of Solutions of the Yang-Mills Equations in Minkowski Spacetime -- Nonlinear Stability in Fluids and Plasmas -- Lane-Emden Equations and Related Topics in Nonlinear Elliptic and Parabolic Problems -- Parabolicity and the Liouville Property on Complete Riemannian Manifolds -- Global Analysis and Teichmüller Theory.

0

Text of Note

Recent years have seen a tremendous growth of interest in non-linear partial differential equations_ Yau's solution of the Calabi conjecture and more recently Schoen's solution of the Yamabe problem and Wente's counter-example of the Hopf conjecture have been a great stimulus to geometric P.D.E .. Applied P.D.E. has also seen great progress. The "year" in P.D.E., January-September 1984 at the Max-Planck-I nstitute was dedicated to bringing together some of the leaders in several fields of P.D.E .. We preferred a seminar focused not on a given very specific area but one which cuts across boundaries of research interests. We hoped to have a snapshot of some of the more important recent devel opments in non-linear P.D.E .. The current volume contains some of the results reported upon in this seminar. From Henry Wente, in geometric P.D.E., we have new toroidal counter-examples to Hopf's conjecture, and, due to Uwe Abresch, a further development of these ideas. Sergiu Klainerman's global existence result for the non-linear Klein-Gordon equation in four space-time dimensions, achieved while at Max Planck, is included. Vince Moncrief presents his global existence result for the Yang-Mills equation in Min kowski space time. All of these results answer important and outstanding questions.

International Standard Book Number

9783322850515

Title

Springer eBooks

Engineering.

Tromba, Anthony J.

SpringerLink (Online service)

Date of Transaction

20190307161900.0

Electronic name

[Book]

Y