Journal of Emerging Trends in Engineering and Applied Sciences: Research Areas

Abstract:
We formulate the control problem of heat conduction problem with inverse direction of time and integral boundary conditions and we show the non-well-posedness of this problem. The importance of the heat conduction problem with integral boundary conditions its non self-adjointness, which make a principle difficulties while investigating the problem. The solution of our problem play an important role in optimal control in heat conduction theory and in plasma physics, that is, in those problems where we have an integral restriction on a function.

Keywords: heat equation, integral boundary conditions, non-classical boundary conditions, optimal control for heat equation, well-posedness.

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