منابع مشابه
Remarks on optimal design problems
One discusses some problems of optimal design for a diffusion equation, when the functional to minimize contains a term in |grad(t*)|. Introduction A little more than 20 years ago, following the discovery by FYan$ois MURAT of some counterexamples [la-lb], we set up the mathematical basis of a new method for solving some optimal design problems with distributed parameters [2]. The lack of existe...
متن کاملRemarks on "some Problems in Conformal Mapping"
1. The present note contains several remarks on an earlier paper by the author [2].1 In Chapter IV, §4, which deals with the question of when we can have equality of modules for a triply-connected domain and a proper subdomain, the last sentence was added in proof. This accounts for the apparent disparity between it and the preceding one. In order to justify this statement we observe first that...
متن کاملComplementary Extremum Principles for Isoperimetric Optimisation Problems
An isoperimetric problem of the calculus of variations is reviewed. An integral functional, dependent on a function u (x), its derivative u′ (x) and on the independent variable x, is minimised. The minimisation is subject to the isoperimetric constraint that the length of the integration interval remains constant. The well-known Euler equation of the fundamental problem of the calculus of varia...
متن کاملNonlinear Separation Approach to Constrained Extremum Problems
In this paper, by virtue of a nonlinear scalarization function, two nonlinear weak separation functions, a nonlinear regular weak separation function, and a nonlinear strong separation function are first introduced, respectively. Then, by the image space analysis, a global saddle-point condition for a nonlinear function is investigated. It is shown that the existence of a saddle point is equiva...
متن کاملRemarks on Elliptic Curve Discrete Logarithm Problems
The MOV and FR algorithms, which are representative attacks on elliptic curve cryptosystems, reduce the elliptic curve discrete logarithm problem (ECDLP) to the discrete logarithm problem in a finite field. This paper studies these algorithms and introduces the following three results. First, we show an explicit condition under which the MOV algorithm can be applied to non-supersingular ellipti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1971
ISSN: 0040-8735
DOI: 10.2748/tmj/1178242692