Acta mathematica scientia, Series B >
LIFE-SPAN OF CLASSICAL SOLUTIONS TO HYPERBOLIC GEOMETRY FLOW EQUATION IN SEVERAL SPACE DIMENSIONS
Received date: 2015-11-04
Online published: 2017-06-25
Supported by
This work is supported in part by the NNSF of China (11271323,91330105),the Zhejiang Provincial Natural Science Foundation of China (LZ13A010002),and the Henan Provincial Natural Science Foundation of China (152300410226).
In this article, we investigate the lower bound of life-span of classical solutions of the hyperbolic geometry flow equations in several space dimensions with "small" initial data. We first present some estimates on solutions of linear wave equations in several space variables. Then, we derive a lower bound of the life-span of the classical solutions to the equations with "small" initial data.
Key words: Hyperbolic geometry flow; classical solution; life-span
Dexing KONG , Qi LIU , Changming SONG . LIFE-SPAN OF CLASSICAL SOLUTIONS TO HYPERBOLIC GEOMETRY FLOW EQUATION IN SEVERAL SPACE DIMENSIONS[J]. Acta mathematica scientia, Series B, 2017 , 37(3) : 679 -694 . DOI: 10.1016/S0252-9602(17)30030-9
/
| 〈 |
|
〉 |