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Abstract
In this paper, we consider a class of second order elliptic distributed parameter systems, the bilinearity appears in the form u_i frac{partial y}{partial x_i}. The existence and uniqueness of solutions of the state equations describing the system are given. Next we derive a priori estimates for solutions of the state equations are presented. Finally, we obtain the existence and uniqueness of the optimal control tilde{u}.
How to Cite this Article:
Zuliang Lu, Existence and uniqueness for solutions of a class of second order distributed parameter systems, Journal of Nonlinear Functional Analysis 2014 (2014), Article ID 8.