High level interior and boundary regularity results of the Euler-Bernoulli equation with application to Differential Riccati Equations in optimal control

摘要

It is shown that the multi-dimensional Euler-Bernoulli (E-B) Equation with just one boundary control in the `moment' boundary condition satisfies the abstract setting, provided recently in [15], of the optimal quadratic cost problem and associated Differential Riccati Equations. Higher level interior and boundary regularity results of the E-B equation, which are required by the abstract theory, are established by energy methods.