Continuous dependence for solution classes of Euler-Lagrange equations generated by linear growth energies

Ken Shirakawa. "Continuous dependence for solution classes of Euler-Lagrange equations generated by linear growth energies." Banach Center Publications 86.1 (2009): 287-302. <http://eudml.org/doc/282537>.

@article{KenShirakawa2009,
abstract = {In this paper, a one-dimensional Euler-Lagrange equation associated with the total variation energy, and Euler-Lagrange equations generated by approximating total variations with linear growth, are considered. Each of the problems presented can be regarded as a governing equation for steady-states in solid-liquid phase transitions. On the basis of precise structural analysis for the solutions, the continuous dependence between the solution classes of approximating problems and that of the limiting Euler-Lagrange equation will be studied by means of the analytical methods of set-valued analysis.},
author = {Ken Shirakawa},
journal = {Banach Center Publications},
keywords = {Euler–Lagrange equations; structural analysis; continuous dependence of solution classes},
language = {eng},
number = {1},
pages = {287-302},
title = {Continuous dependence for solution classes of Euler-Lagrange equations generated by linear growth energies},
url = {http://eudml.org/doc/282537},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Ken Shirakawa
TI - Continuous dependence for solution classes of Euler-Lagrange equations generated by linear growth energies
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 287
EP - 302
AB - In this paper, a one-dimensional Euler-Lagrange equation associated with the total variation energy, and Euler-Lagrange equations generated by approximating total variations with linear growth, are considered. Each of the problems presented can be regarded as a governing equation for steady-states in solid-liquid phase transitions. On the basis of precise structural analysis for the solutions, the continuous dependence between the solution classes of approximating problems and that of the limiting Euler-Lagrange equation will be studied by means of the analytical methods of set-valued analysis.
LA - eng
KW - Euler–Lagrange equations; structural analysis; continuous dependence of solution classes
UR - http://eudml.org/doc/282537
ER -