Second order variational equations and the strong maximum principle
β Scribed by M.M. Denn; R. Aris
- Publisher
- Elsevier Science
- Year
- 1965
- Tongue
- English
- Weight
- 953 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0009-2509
No coin nor oath required. For personal study only.
β¦ Synopsis
In the study of optimal chemical processes it is necessary to take proper account of the discrete nature and complex structural topology of many elements of the plant. The solution of nonlinear variational equations may be used to prove the strong maximum principle of PONTRYAGIN for continuous systems with recycle and to demonstrate the reasons for the general failure of the analogous strong principle for staged systems in all but the simplest cases.
π SIMILAR VOLUMES
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In this paper the work of Berestycki, Nirenberg and Varadhan on the maximum principle and the principal eigenvalue for second order operators on general domains is extended to Riemannian manifolds. In particular it is proved that the refined maximum principle holds for a second order elliptic operat