|
|
| |
| UNIQUE CONTINUATION ON A HYPERPLANE FORWAVE EQUATION |
| |
Citation： |
CHENG Jin,Masahiro YAMAMOTO,ZHOU Qi.UNIQUE CONTINUATION ON A HYPERPLANE FORWAVE EQUATION[J].Chinese Annals of Mathematics B,1999,20(4):385~392 |
| Page view： 1352
Net amount： 889 |
Authors： |
CHENG Jin; Masahiro YAMAMOTO;ZHOU Qi |
Foundation： |
The first named author was supported partly by the National Natural Science Foundation of China No.19501001.
The second named author was partly supported by Sanwa Systems Development Co., Ltd (Tokyo, Japan).
The third named author was supported by the Monbusho fellowship of Japan Government. |
|
|
| Abstract： |
One kind of unique continuation property for a
wave equation is discussed. The authors show that, if one classical solution of the wave
equation vanishes in an open set on a hyperplane, then it must vanish in a
larger set on
this hyperplane. The result can be viewed as a localized version of
Robbiano's result$^{[9]}$. The approach involves the localized Fourier-Gauss
transformation and unique continuation on a line in the Laplace equation. |
Keywords： |
Unique continuation, Hyperplane, Wave operator,
Localized Fourier-Gauss,transform |
Classification： |
35B60, 35L05 |
|
|
Download PDF Full-Text
|
|
|
|
