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一类非线性抛物方程初值问题整体解的存在唯一性

Existence and Uniqueness of Global Solution Cauchy Problem of a Class of Nonlinear Parabolic Equations
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摘要 利用压缩映射原理和解的延拓定理证明一类非线性抛物方程初值问题的整体广义解和整体古典解的存在唯一性. Prove existence and uniqueness of global generalized solution and global classical solution for Cauchy problem of a class of nonlinear parabolic equations by contractive principle and extensive theorem of solution.
出处 《河南教育学院学报(自然科学版)》 2011年第1期1-4,共4页 Journal of Henan Institute of Education(Natural Science Edition)
基金 河南省教育厅自然科学基金(2009B110007) 河南工业大学校基金(10XPT002)
关键词 非线性抛物方程 初值问题 压缩映射原理 局部解 整体解 nonlinear parabolic equation Cauchy problem contraction mapping principle local solution global solution
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