Vector-ValuedFunctions131向量值函数
Since weighted spaces of continuously partially differentiable vector-valued functions will serve as our standard examples, we recall the definition of the spaces Ck(Ω,E). A function f:Ω→E on an open set Ω⊂Rd to an lcHs E is called continuously partially differentiable (f is C1) if ...
TY - JOURAU - Hildebrandt, S.AU - Widman, K.-O.TI - Variational inequalities for vector-valued functions.JO - Journal f眉r die reine und angewandte MathematikPY - 1979VL - 309SP - 191EP - 220LA - engKW - Variational Inequalities; Vector-Valued Functions; Quasilinear Elliptic ...
Furthermore, we recall the definition of continuous partial differentiability of a vector-valued function that we need in many examples, especially, for the weak-strong principle for differentiable functions of finite order in Section5. A functionf:\Omega \rightarrow Eon an open set\Omega \subset...
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mean-value theorem for vector-valued functions向量值函数的中值定理 热度: 相关推荐 a r X i v : m a t h / 0 4 1 1 1 7 3 v 1 [ m a t h . O C ] 8 N o v 2 0 0 4 A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Th...
We illustrate this by a number of examples.doi:10.4310/PAMQ.2015.v11.n1.a2Fabien CléryGerard van der GeerarXivPure & Applied Mathematics QuarterlyF. Cl´ery and G. van der Geer. Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms. Pure and Applied ...
Recently, several interesting constructions of vectorial Boolean functions with the maximum number of bent components (MNBC functions, for short) were proposed. However, many of them have component functions from the completed Maiorana-McFarland class. Moreover, no examples of MNBC functions containin...
In the classical case,andare elementary abelianp-groups, i.e., they are vector spaces of dimensionnandmrespectively over the prime fieldfor some primep. We are here interested solely in the case that, i.e., in Boolean and vectorial Boolean functions, hence we may simply writefor. Then ...
vector-valued functional with components I i [x(·), u(·)] = b a L i (t, x(t), u(t))dt , i = 1, . . . , N , subject to a dynamical control system (1), and boundary conditions (4). We denote this problem by (P). Definition 3.1. An admissible pair (˜ x(·...