Pontryagin Maximum Principle for Semilinear and Quasilinear Parabolic Equations with Pointwise State Constraints
- 1 November 1995
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 33 (6) , 1857-1880
- https://doi.org/10.1137/s0363012993250074
Abstract
This paper studies the first-order necessary conditions for the optimal controls of semilinear and quasilinear parabolic partial differential equations with pointwise state constraints. A Pontryagin-type maximum principle is obtained.Keywords
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