TY - JOUR
T1 - Intrinsic scaling for PDE's with an exponential nonlinearity
AU - Henriques, Eurica
AU - Urbano, José Miguel
N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15
PY - 2006/12/21
Y1 - 2006/12/21
N2 - We consider strongly degenerate equations in divergence form of the type ∂t - ∇ · (|u|γ(x,t)∇u) = f, where the exponential nonlinearity satisfies the condition 0 < γ- ≤ γ(x,t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous. Indiana University Mathematics Journal ©.
AB - We consider strongly degenerate equations in divergence form of the type ∂t - ∇ · (|u|γ(x,t)∇u) = f, where the exponential nonlinearity satisfies the condition 0 < γ- ≤ γ(x,t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous. Indiana University Mathematics Journal ©.
UR - http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=2715&year=2006&volume=55
UR - http://www.scopus.com/inward/record.url?scp=33845534169&partnerID=8YFLogxK
U2 - 10.1512/iumj.2006.55.2715
DO - 10.1512/iumj.2006.55.2715
M3 - Article
SN - 0022-2518
VL - 55
SP - 1701
EP - 1721
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 5
ER -