TY - JOUR
T1 - On a simple maximum principle technique applied to equations on the circle
AU - Lin, Yu Chu
AU - Tsai, Dong Ho
N1 - Funding Information:
The authors are supported by grants from NSC and NCTS of Taiwan. Corresponding author. E-mail addresses: [email protected] (Y.-C. Lin), [email protected] (D.-H. Tsai).
Funding Information:
We thank the support of the National Science Council of Taiwan under grant number 95-2115-M-007-009 and the support of National Center for Theoretical Sciences, Taiwan. We also gratefully acknowledge some helpful discussions with Professor H. Matano of Tokyo University, Japan. Finally we thank the referee for his/her valuable comments on the paper.
PY - 2008/7/15
Y1 - 2008/7/15
N2 - For a class of general quasilinear equations on S1, we show that, by a very simple maximum principle technique, as long as the solution stays finite, all of its derivatives also remain finite. Some specific examples are given. Under suitable assumptions, we also derive exponential decay of the derivatives of the solution.
AB - For a class of general quasilinear equations on S1, we show that, by a very simple maximum principle technique, as long as the solution stays finite, all of its derivatives also remain finite. Some specific examples are given. Under suitable assumptions, we also derive exponential decay of the derivatives of the solution.
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U2 - 10.1016/j.jde.2008.04.007
DO - 10.1016/j.jde.2008.04.007
M3 - Article
AN - SCOPUS:43649105372
SN - 0022-0396
VL - 245
SP - 377
EP - 391
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -