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LIFE SPAN OF CLASSICAL SOLUTIONS TO $u_{tt}-u_{xx}=|u|^{1+\alpha}$ |
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Citation: |
Zhou Yi(周忆).LIFE SPAN OF CLASSICAL SOLUTIONS TO $u_{tt}-u_{xx}=|u|^{1+\alpha}$[J].Chinese Annals of Mathematics B,1992,13(2):230~243 |
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Net amount: 755 |
Authors: |
Zhou Yi(周忆); |
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Abstract: |
This paper studies the life span of classical solutions to $u_{tt}-u_{xx}=|u|^{1+\alpha}$,$t=0:u=sf(x),u_t=sg(x)$,where $\alpha$ is a positive real number,$f\in C_{0}^{2}(R)$,$g\in C_{2}^{1}(R)$,s is a small parameter.The upper and lower bounds of the same order of magnitude for the life span are obtained respectively. |
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