Second-Order Evolution Equations Associated with Convex Hamiltonians(1)

1 March 1980

journal article
Published by Canadian Mathematical Society in Canadian Mathematical Bulletin

Vol. 23 (1) , 81-94
https://doi.org/10.4153/cmb-1980-011-x

Abstract

Many problems in mathematical physics can be formulated as differential equations of second order in time:with V a convex functional. This is the Euler equation for the Lagrangianwhich is convex with respect to x, and concave with respect to x.

Keywords

CONVEX HAMILTONIANS
EQUATIONS ASSOCIATED
EVOLUTION EQUATIONS
SECOND ORDER EVOLUTION

This publication has 1 reference indexed in Scilit:

Convex Analysis and Variational Problems
Published by Society for Industrial & Applied Mathematics (SIAM) ,1999