在数学中,弱微分(Weak Derivative)是一个函数的微分(强微分)概念的推广,它可以作用于那些勒贝格可积(Lebesgue Integrable)的函数,而不必预设函数的可微性(事实上大部分可以弱微分的函数并不可微)。一个典型的勒贝格可积函数的空间是L1([a,b])。在分布中,可以定义一个更一般的微分概念。
... weakly important 稍微重要 Weakly Differentiable 弱微分 Weakly ergodic 遍历理论 ...
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弱微分算子 [数] weak differential operator
弱双曲型微分算子 [数] weakly hyperbolic differential operator
有时脉博似乎十分微弱 Sometimes the pulse seemed feeble
在非线性偏微分方程中,根据弱可压缩液体的假设,忽略二次梯度项,在试井较长时间内将产生误差。
According to the assumption of slightly compressible fluid, neglected the quadratic gradient term in nonlinear partial differential equation is usually lead to error.
得到一个关于脉冲微分方程弱指数渐近稳定的判定定理。
The sufficient conditions of the weak exponential asymptotic stability of impulsive differential system are obtained.
接着,利用函数的上次微分构造了不可微向量优化问题(VP)的广义对偶模型,并且在适当的弱凸性条件下建立了弱对偶定理。
Finally, the generalized dual model of the problem (VP) is presented with the help of upper subdifferential of function, and a weak duality theorem is given.
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