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The global control of nonlinear elliptic equations

โœ Scribed by J.E. Rubio

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
426 KB
Volume
330
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

We consider the boundary control of a nonlinear elliptic partial diJerentia1 equation with an integral perjormance criterion. By means of a well-known process of embedding, this problem is replaced by another, in which we seek to minimize a linear form over a subset of the product of two measure spaces dejined by linear equalities. This minimization is global, and the theory allows the development of a computational method consisting of the solution of large jinite-dimensional linear programming problems. Nearly optimal controls can thus be constructed. An example is given.

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