| 非线性抛物方程整体解的存在性和爆破 |
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| 引用本文： | 赵林,高云柱. 非线性抛物方程整体解的存在性和爆破[J]. 北华大学学报(自然科学版), 2011, 0(6): 637-641 |
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| 作者姓名： | 赵林 高云柱 |
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| 作者单位： | 北华大学师范分院;北华大学数学学院; |
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| 摘 要： | 考察了一类非线性抛物型方程非局部边界条件和局部源问题,利用上下解方法和比较原理,得到了整体解的存在性和爆破结果.
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| 关 键 词： | 存在性 爆破 非局部边界条件 局部源 |
Existence and Blow-up of Global Solutions for Nonlinear Parabolic Equation |
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| ZHAO Lin,GAO Yun-zhu. Existence and Blow-up of Global Solutions for Nonlinear Parabolic Equation[J]. Journal of Beihua University(Natural Science), 2011, 0(6): 637-641 |
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| Authors: | ZHAO Lin GAO Yun-zhu |
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| Affiliation: | ZHAO Lin1,GAO Yun-zhu2(1.Teacher's School of Beihua University,Jilin 132013,China,2.Mathematics College of Beihua University,Jilin 132033,China) |
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| Abstract: | A class of nonlinear parabolic equation involving nonlocal boundary conditions and a localized source are investigated.The existence and blow-up of solutions are obtained by using super-solution and sub-solution method and a comparison principle. |
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| Keywords: | existence blow-up nonlocal boundary condition localized source |
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