On a simple maximum principle technique applied to equations on the circle |
| |
Authors: | Yu-Chu Lin Dong-Ho Tsai |
| |
Institution: | Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan |
| |
Abstract: | 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. |
| |
Keywords: | 35K15 35K55 |
本文献已被 ScienceDirect 等数据库收录! |
|