Sur un problème parabolique-elliptique

Benilan, Philippe, and Wittbold, Petra. "Sur un problème parabolique-elliptique." ESAIM: Mathematical Modelling and Numerical Analysis 33.1 (2010): 121-127. <http://eudml.org/doc/197388>.

@article{Benilan2010,
abstract = { We prove existence (uniqueness is easy) of a weak solution to a boundary value problem for an equation like $(v-1)^+_t = v_\{xx\} + F(v)_x$ where the function $F: \Bbb R\rightarrow\Bbb R$ is only supposed to be locally lipschitz continuous. In order to replace the lack of compactness in t on v<1, we use nonlinear semigroup theory. },
author = {Benilan, Philippe, Wittbold, Petra},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {lack of compactness in },
language = {fre},
month = {3},
number = {1},
pages = {121-127},
publisher = {EDP Sciences},
title = {Sur un problème parabolique-elliptique},
url = {http://eudml.org/doc/197388},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Benilan, Philippe
AU - Wittbold, Petra
TI - Sur un problème parabolique-elliptique
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 1
SP - 121
EP - 127
AB - We prove existence (uniqueness is easy) of a weak solution to a boundary value problem for an equation like $(v-1)^+_t = v_{xx} + F(v)_x$ where the function $F: \Bbb R\rightarrow\Bbb R$ is only supposed to be locally lipschitz continuous. In order to replace the lack of compactness in t on v<1, we use nonlinear semigroup theory.
LA - fre
KW - lack of compactness in
UR - http://eudml.org/doc/197388
ER -