Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (3): 847-862.doi: 10.1016/S0252-9602(16)30044-3

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PERIODIC OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR PARABOLIC EQUATIONS WITH IMPULSE CONTROL

Qishu YAN   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2015-02-26 Revised:2015-11-23 Online:2016-06-25 Published:2016-06-25
  • Supported by:

    This work was partially supported by the National Science Foundation of China (11371285).

Abstract:

This paper is concerned with periodic optimal control problems governed by semilinear parabolic differential equations with impulse control. Pontryagin's maximum principle is derived. The proofs rely on a unique continuation estimate at one time for a linear parabolic equation.

Key words: Pontryagin's maximum principle, impulse control, semilinear parabolic equation

CLC Number: 

  • 35K58
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