RAFF 发表于 2025-3-25 04:15:20
Derivatives and Solutions,We often consider control problems for systems defined by “differential” equations (ordinary, partial or stochastic) and we require an appropriate notion of differentiation and what constitutes a solution.explicit 发表于 2025-3-25 09:59:15
http://reply.papertrans.cn/29/2807/280619/280619_22.png彻底明白 发表于 2025-3-25 14:00:29
Minimization of Functionals: Hilbert Spaces,We shall generalize this result in Chapter 6. The key elements in the proof are the invertibility of a linear transformation (.(.) here) and the use of the Implicit Function Theorem.新星 发表于 2025-3-25 19:25:56
Minimization of Functionals: Uniformly Convex Spaces,We want to prove an analogy of Theorem 4.27 for these (Sobolev) gradients in so-called uniformly convex spaces.CANT 发表于 2025-3-25 20:28:47
Minimization of Functionals: Hilbert Space, 2,We saw in Chapter 2 that these problems are equivalent in that . is a solution of 6.3 if and only if . is a solution of 6.4.Cervical-Spine 发表于 2025-3-26 03:03:56
http://reply.papertrans.cn/29/2807/280619/280619_26.pngCubicle 发表于 2025-3-26 05:08:04
Optimization of Functionals: Necessary Conditions,We recall the notions of differentiablilty for maps of Banach spaces.flourish 发表于 2025-3-26 09:17:33
http://reply.papertrans.cn/29/2807/280619/280619_28.pngPRO 发表于 2025-3-26 13:38:36
http://reply.papertrans.cn/29/2807/280619/280619_29.png集聚成团 发表于 2025-3-26 19:00:14
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