Ian Jauslin
196f3d05a9
Added: Theorem on positivity of solutions.
Added: Reference to [CJLL20]
Added: Theorem on decay rate is now more general.
Fixed: Clarified the discussion in point 2-2 of the proof of the theorem
on decay.
Removed: open problem about positivity of solutions.
Fixed: Format of named theorems.
Fixed: Minor formatting fixes.
Fixed: In proof of decay: indenting error.
This directory contains the source files to typeset the article, and generate
the figures. This can be accomplished by running
make
A program is bundled with this document to compute solutions to the simple
equation numerically. It is located in figs/numerical.figs/simpleq. We will not
give a full documentation of the program, which will be provided with a more
complete version at some later time. The program is run when running 'make' to
compute the data for the figures.
This document uses a custom class file, located in the 'libs' directory, which
defines a number of commands. Most of these are drop-in replacements for those
defined in the 'article' class.
Some extra functionality is provided in custom style files, located in the
'libs' directory.
* Dependencies:
pdflatex
TeXlive packages:
amsfonts
array
color
dsfont
etoolbox
graphics
hyperref
latex
marginnote
pgf
standalone
GNU make
julia
* Files:
Carlen_Jauslin_Lieb_2019.tex:
main LaTeX file
libs:
custom LaTeX class file
figs:
source code for the figures