自从西元1943 年法国数学家勒雷(Leray)证明了纳维尔–史托克方程的全时间弱解(global weak solution)之后,人们一直想知道的是此解是否唯一?
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... 弱解 generalized solution 广义级数的和 generalized sum 广义对称群 generalized symmetric group ...
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For a class of nonlinear hyperbolic equations,the existence and uniquess of a global weak solution are obtained,the dependent relation of existential interval of a classical solution on data is gained too.
对一类非线性双曲方程给出了整体弱解的存在唯一性及古典解关于时间的存在区间对资料的依赖关系。
参考来源 - 一类非线性一阶双曲方程 A Class of the first order nonlinear hyperbolic equation·2,447,543篇论文数据,部分数据来源于NoteExpress
若能证明弱解是唯一的,则称之为广义解。
If the weak solution can be proved to be unique, it is called the generalized solution.
得到了一类二阶散度型椭圆方程很弱解的一个正则性结果。
A regularity result of a class of second order divergence form elliptic equation was obtained.
考虑具有可控增长条件的非线性椭圆方程组弱解的部分正则性。
In this paper, we consider the nonlinear elliptic systems under the controllable growth condition.
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