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| LIFE SPAN OF CLASSICAL SOLUTIONS TO $\[B \simeq Ma{t_m}(kD)\]$ IN TWO SPACE DIMENSIONS |
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Citation： |
Zhou Yi.LIFE SPAN OF CLASSICAL SOLUTIONS TO $\[B \simeq Ma{t_m}(kD)\]$ IN TWO SPACE DIMENSIONS[J].Chinese Annals of Mathematics B,1993,14(2):225~236 |
| Page view： 1123
Net amount： 741 |
Authors： |
Zhou Yi; |
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| Abstract： |
The author studies the life span of classical solutions to the following Cauchy problem $\[B \simeq Ma{t_m}(kD)\]$,
$t=0:u=\epsilon\phi(x),u_t=\epsilon\psi(x),x\in R^2$
where $\phi,\psi\in C_0^\infinity(R^2)$ and not both identically zero,$\[\square = \partial _t^2 - \partial _1^2 - \partial _2^2,p \geqslant 2\]$ is a real number and $\epsilon > 0$ is a small parameter, and obtains respectively upper and lower bounds of the same order of magnitude for the life span for $2\leq p \leq p_0$, where $p_0$ is the positive root of the quadratic $X^2-3X-2=0$. |
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