On the necessity of gaps

Matano, Hiroshi, and Rabinowitz, Paul. "On the necessity of gaps." Journal of the European Mathematical Society 008.2 (2006): 355-373. <http://eudml.org/doc/277395>.

@article{Matano2006,
abstract = {Recent papers have studied the existence of phase transition solutions for Allen–Cahn type equations. These solutions are either single or multi-transition spatial heteroclinics or homoclinics between simpler equilibrium states. A sufficient condition for the construction of the multitransition solutions is that there are gaps in the ordered set of single transition solutions. In this paper we explore the necessity of these gap conditions.},
author = {Matano, Hiroshi, Rabinowitz, Paul},
journal = {Journal of the European Mathematical Society},
keywords = {Allen–Cahn type equations; phase transition solution; gap conditions},
language = {eng},
number = {2},
pages = {355-373},
publisher = {European Mathematical Society Publishing House},
title = {On the necessity of gaps},
url = {http://eudml.org/doc/277395},
volume = {008},
year = {2006},
}

TY - JOUR
AU - Matano, Hiroshi
AU - Rabinowitz, Paul
TI - On the necessity of gaps
JO - Journal of the European Mathematical Society
PY - 2006
PB - European Mathematical Society Publishing House
VL - 008
IS - 2
SP - 355
EP - 373
AB - Recent papers have studied the existence of phase transition solutions for Allen–Cahn type equations. These solutions are either single or multi-transition spatial heteroclinics or homoclinics between simpler equilibrium states. A sufficient condition for the construction of the multitransition solutions is that there are gaps in the ordered set of single transition solutions. In this paper we explore the necessity of these gap conditions.
LA - eng
KW - Allen–Cahn type equations; phase transition solution; gap conditions
UR - http://eudml.org/doc/277395
ER -