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Titlebook: Convex Integration Theory; Solutions to the h-p David Spring Book 1998 Springer Basel AG 1998 Differential topology.Manifold.Topology.diffe

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樓主: Guffaw
31#
發(fā)表于 2025-3-26 22:54:54 | 只看該作者
Systems of Partial Differential Equations, solution to the relation . if the image ..(.) Γ .: for all . ∈ ., .(..f(.)) = 0 ∈ ... The system of equations, . = (.., ..,… ..) : ...., . is a system of . PDEs in the unknown .. section . ∈ ?.(.). In case .: . = . × ..→ . is projection onto an open set . ? .., then (9.1) is a system of . PDEs in t
32#
發(fā)表于 2025-3-27 01:09:51 | 只看該作者
Relaxation Theory,l Control theory, and we prove a general ..-Relaxation Theorem 10.2. In broadest terms the underlying analytic approximation problem for both the Relaxation Theorem and for Convex Integration theory is the following. Let . ? .. and let .: [0,1] → .. be a continuous vector valued function which is di
33#
發(fā)表于 2025-3-27 07:57:08 | 只看該作者
34#
發(fā)表于 2025-3-27 12:21:45 | 只看該作者
35#
發(fā)表于 2025-3-27 17:41:41 | 只看該作者
36#
發(fā)表于 2025-3-27 17:54:57 | 只看該作者
D4 Stoffwerte von technischen W?rmetr?gernined below, whose local structure provides the natural geometrical setting for applications of the main analytic approximation results of Chapter III, in particular the .⊥-Approximation Theorem 3.8. This bundle “factors” the affine bundle . in the following sense. There is a natural affine bundle . such that,
37#
發(fā)表于 2025-3-28 00:20:33 | 只看該作者
Microfibrations,es of 1-jets .. since in local coordinates first order derivatives are all pure. As mentioned in the introduction to Chapter IV, by suitable local changes of coordinates it is possible to apply this technique also in the case of open, ample relations in 2-jet spaces .., although we have not attempted to develop the details in this book.
38#
發(fā)表于 2025-3-28 04:02:49 | 只看該作者
Convex Hull Extensions,omic. The .-principle is required to be a relative condition in the following sense. Let . ? . be closed and suppose α is holonomic on .: there is a ..-section . ∈ Γ(.) such that . = .. ∈ Γ.(.(.)). Then in addition we require that for all . ∈ [0,1], ..= α ∈ Γ.(.) (constant homotopy over .).
39#
發(fā)表于 2025-3-28 09:30:20 | 只看該作者
40#
發(fā)表于 2025-3-28 14:26:48 | 只看該作者
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