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Quasilinear equations of mixed type (Ⅰ )——Oblique derivative problems

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【作者】 闻国椿田茂英

【Author】 WEN Guochun and TIAN Maoying(Department of Mathematics, Peking University, Beijing 100871, China)

【机构】 Department of MathematicsPeking UniversityBeijing 100871ChinaChina

【摘要】 <正> The oblique derivative boundary value problem for quasitinear second-order equations of mixed ( el liptic-hyperbolic) type is studied. Firstly the representation of solutions of the above boundary value problem, is given, and then the uniqueness and existence of solutions of the above problem are proved In the meantime a priori estimates of solutions for the problem are obtained.

【Abstract】 The oblique derivative boundary value problem for quasitinear second-order equations of mixed ( el liptic-hyperbolic) type is studied. Firstly the representation of solutions of the above boundary value problem, is given, and then the uniqueness and existence of solutions of the above problem are proved In the meantime a priori estimates of solutions for the problem are obtained.

【基金】 Project supported by the National Natural Science Foundation of China (Grant No 19671006)
  • 【文献出处】 Progress in Natural Science ,自然科学进展(英文版) , 编辑部邮箱 ,1999年02期
  • 【分类号】O175
  • 【被引频次】1
  • 【下载频次】9
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