(1996)
Author:
Ennio De Giorgi
Journal: Duke Math. J. [MathSciNet]
Number: 81-2
Pages: 255-268
Notes: in italian
Abstract:
Some conjectures concerning ``evolution problems'' are
presented. They are related to the ``steepest descent'', to the
approximations of Newton's gravitation law, to hyperbolic non
linear equations and to ``descent movements'' of manifolds.
The article identifies several questions, of which I do not
know the solution, and points out a number of analogies
between problems that are apparently far from each other. I
believe that the study of these conjectures might provide an
opportunity for scientists that are expert in different fields
within pure and applied mathematics to get together and
ponder on the connections that exist among various
mathematical concepts, such as linear vs. non-linear
behavior, stability vs. instability, or convergence of different
approximation methods, and certain ideas well developed in
physics, such as deterministic vs. non-deterministic
behavior, predictability vs. non-predictability, order and
chaos, etc. ![[PS]](/style/ps.png)
![[PDF]](/style/pdf.png)
[BibTeX Entry]
Available Files:
paper.tex (paper.ps, paper.pdf)
abstract.tex (abstract.ps, abstract.pdf)
paper.ps (paper.pdf)
