| 非线性斜微商双曲边值问题 |
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| 引用本文： | 唐贤江 叶小平. 非线性斜微商双曲边值问题[J]. 四川大学学报(自然科学版), 1990, 27(3): 265-274 |
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| 作者姓名： | 唐贤江 叶小平 |
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| 作者单位： | 四川大学数学系(唐贤江)，四川大学数学系(叶小平) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 利用仿微分算子,讨论了二阶完全非线性方程的斜商边值问题解的奇性,把P.Godin中的结果由椭圆边界点推广到了双曲点的情形.
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| 关 键 词： | 斜微商问题 双曲边界点 锥邻域 |
NON LINEAR OBLIQUE DERIVATIVE HYPERBOLIC BOUNDARY VALUE PROBLEMS |
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| Tang Xianjiang Ye Xiaoping. NON LINEAR OBLIQUE DERIVATIVE HYPERBOLIC BOUNDARY VALUE PROBLEMS[J]. Journal of Sichuan University (Natural Science Edition), 1990, 27(3): 265-274 |
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| Authors: | Tang Xianjiang Ye Xiaoping |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper we prove the following result THEOREM Denote by r=( ) a point of T and by U a neighborhood of X0 in Let ueH(T, U) be a solution of the equation F(t, x, uu, V2u) = 0 in [0, T] x U satisfying the boundary condition f(x, u, u)=0 in U, where F(resp.f) is a C function defined in a neighborhood of [(x, u(0, x), u(0, x))xeU], Assume further more that isnot characteristic for F(t, x, u, u, 2u) at x0, that is an hyperbolic boundary point ofF(t, x, u, u, 2u), and that f(x, u, u) satisfies condition (k ) at x0. Then there exist a neighborhood U' of x0 in a strictly positive number T
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| Keywords: | obligue derivative problem hyperbolic boundary point conic neighborhood. |
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