非线性抛物型方程组的两类边值问题 |
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引用本文: | 许克明,王善维. 非线性抛物型方程组的两类边值问题[J]. 河北科技大学学报, 1997, 0(3) |
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作者姓名: | 许克明 王善维 |
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作者单位: | 河北科技大学(中校区)基础课部 |
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摘 要: | 首先给出边值问题的条件,然后讨论抛物算子Lu与L1u的某些性质,给出问题D与问题N的解的先验估计,最后利用参数开拓法和Schauder不动点定理证明两类边值问题的可解性。
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关 键 词: | 抛物型方程组;边值问题;先验估计 |
On Two Kinds of Boundary Value Problem for Nonlinear Parabolic System of Equations |
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Affiliation: | Middle District |
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Abstract: | The conditions of boundary value problem are first given.Then some properties of parabolic operators Lu and L1u are discussed,and the prior estimates of solutions for problem D and problem N are given.Finally we prove the solvability of two kinds of boundary value problems by using the method of parameter extension and Schauder fixed point theorem. |
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Keywords: | parabolic system of equations boundary value problem prior estimate |
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