非线性高阶波动型方程的局部解及解的Blow-up

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非线性高阶波动型方程的局部解及解的Blow-up 叶耀军浙江科技学院数学信息与统计系, 杭州 310023 Local Existence and Blow-up of Solution for Nonlinear Higher-order Wave Equation YE YaojunDepartment of Mathematical Information and Statistics, Zhejiang University of Science and Technology, Hangzhou 310023, China

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摘要本文研究了一类非线性高阶波动型方程的初边值问题．在阻尼项和源项的适当假设条件下，讨论了此问题局部解的存在唯一性．同时证明了初始能量为负时，解在有限时间内发生blow-up，并给出了解的生命区间估计.

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收稿日期: 2018-03-06

PACS:	35A07
	35L75

基金资助:浙江省自然科学基金（No.LY17A010009）资助项目.

引用本文:

叶耀军. 非线性高阶波动型方程的局部解及解的Blow-up[J]. 应用数学学报, 2021, 44(3): 393-406. YE Yaojun. Local Existence and Blow-up of Solution for Nonlinear Higher-order Wave Equation. Acta Mathematicae Applicatae Sinica, 2021, 44(3): 393-406.

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