We establish optimal uniform estimates in the maximum norm, for solutions of Poisson's equation, with right hand side in Lebesgue spaces, under mixed Dirichletoblique derivative boundary conditions, where the oblique vector is required to remain uniformly transverse, and the estimates depend only on
Some comments on the optimal assembly problem
β Scribed by Frank K. Hwang; Uriel G. Rothblum
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 830 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
β¦ Synopsis
It is shown that two recent results of Baxter and Harche [ 11 on monotone and balanced optimal assemblies hold only under conditions that are more restrictive than those originally proposed by the authors. We describe such additional conditions, illustrate why they are needed, and establish their sufficiency. We also consider a recent result by Malon [ 1 1 ] and demonstrate that, while the result itself is correct, its two proofs were incomplete. A complete proof of an extension of the result is then suggested.
π SIMILAR VOLUMES
The linear quadratic regulator is one of the most widely used tools for control systems design. Many real world systems, however, are inherently nonlinear and can only be optimally regulated using a nonlinear controller. This is, in general, much more difficult to achieve than the linear quadratic c
Some results concerning decompositions of Kn, K,, -F (where F denotes a I-factor) and complements of a family of special cubic graphs into 2factors of the same type are given. In particular, if 2d is a divisor of n, it is shown that K, -F can be decomposed into 2-factors each of whose components is