关于Lewy方程的可解性——Lewy方程的局部解与整体解
首发时间:2006-07-06
摘要:本文指出 Hans Lewy在Lewy定理的证明中,“Lewy方程(5)构造 ,得到无 解”的结论不成立。本文已经获得“Lewy方程(5)当 ,则有解 ”的结论。Lewy方程是局部可解与整体可解的,我们已经获得了其局部可微解与整体可微解的解析表达式。
关键词: Lewy定理 解析 局部可解
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The solvability of Lewy Equation-----the local solution and the global solution of lewy equation
Abstract:The issue points out that the conclusion of the Hans Lewy’s provement for Lewy theorem----that construct a function in , “Lewy’s equation (5) has no ” is not correct. Considering Lewy’s equation (5) , when , we have already obtained the solution . Lewy’s equation is locally solvable and globally solvable, we have already obtained the analytic expressions of locally and global differentiable solutions.
Keywords: Lewy Theorem analytic locally soluble
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No.7488731351152167****
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