Almost classical solutions of static Stefan type problems involving crystalline curvature

Piotr Bogusław Mucha, and Piotr Rybka. "Almost classical solutions of static Stefan type problems involving crystalline curvature." Banach Center Publications 86.1 (2009): 223-234. <http://eudml.org/doc/281953>.

@article{PiotrBogusławMucha2009,
abstract = {In this note we analyze equilibria of static Stefan type problems with crystalline/singular weighted mean curvature in the plane. Our main goal is to improve the meaning of variational solutions so that their properties allow us to call them almost classical solutions. The idea of our approach is based on a new definition of a composition of multivalued functions.},
author = {Piotr Bogusław Mucha, Piotr Rybka},
journal = {Banach Center Publications},
keywords = {Stefan type problems; crystalline curvature; compositions; meaning of solutions},
language = {eng},
number = {1},
pages = {223-234},
title = {Almost classical solutions of static Stefan type problems involving crystalline curvature},
url = {http://eudml.org/doc/281953},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Piotr Bogusław Mucha
AU - Piotr Rybka
TI - Almost classical solutions of static Stefan type problems involving crystalline curvature
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 223
EP - 234
AB - In this note we analyze equilibria of static Stefan type problems with crystalline/singular weighted mean curvature in the plane. Our main goal is to improve the meaning of variational solutions so that their properties allow us to call them almost classical solutions. The idea of our approach is based on a new definition of a composition of multivalued functions.
LA - eng
KW - Stefan type problems; crystalline curvature; compositions; meaning of solutions
UR - http://eudml.org/doc/281953
ER -