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摘要: |
本文研究了四阶伪抛物型方程 初边值问题解的存在性。利用势阱方法,在低初始能量 时,给出该问题解的全局存在和爆破的阈值条件。同时,估计了爆破解的爆破时间上界。 |
关键词: 伪抛物型方程 全局存在 爆破 爆破时间 |
DOI: |
分类号:O175.4 |
基金项目:国家自然科学基金项目 |
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Blow-up phenomena for fourth order pesudo-parabolic equation |
YangChunxiao
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Abstract: |
his paper considers a initial-boundary value problem for four-order pesudo-parabolic equation . By applying potential well argument, we obtain the global existence and blow-up of solutions for the low initial energy . Meanwhile, the upper bound of blow-up time is estimated. |
Key words: pesudo-parabolic equation Global existence Blow-up Blow-up time |