TY - JOUR
T1 - On the mountain pass algorithm for the quasi-linear Schrodinger equation
AU - Grumiau, Christopher
AU - Squassina, Marco
AU - Troestler, Christophe
PY - 2013
Y1 - 2013
N2 - We discuss the application of the Mountain Pass Algorithm to the
so-called quasi-linear Schrodinger equation, which is naturally associated with
a class of nonsmooth functionals so that the classical algorithm cannot directly
be used. A change of variable allows us to deal with the lack of regularity. We
establish the convergence of a mountain pass algorithm in this setting. Some
numerical experiments are also performed and lead to some conjectures.
AB - We discuss the application of the Mountain Pass Algorithm to the
so-called quasi-linear Schrodinger equation, which is naturally associated with
a class of nonsmooth functionals so that the classical algorithm cannot directly
be used. A change of variable allows us to deal with the lack of regularity. We
establish the convergence of a mountain pass algorithm in this setting. Some
numerical experiments are also performed and lead to some conjectures.
KW - Mountain Pass algorithm
KW - Mountain Pass algorithm
UR - http://hdl.handle.net/10807/88876
U2 - 10.3934/dcdsb.2013.18.1345
DO - 10.3934/dcdsb.2013.18.1345
M3 - Article
SN - 1553-524X
VL - 18
SP - 1345
EP - 1360
JO - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B
JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B
ER -