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Abstract: Boundary control of first-order hyperbolic systems has been extensively studied in the spatially one-dimensional setting. In multi-dimensions, however, progress has been limited, largely due to the loss of Riemann-invariant structure. This talk reports recent progress in my doctoral research on boundary stabilization, controllability, and optimal control for multi-dimensional first-order hyperbolic systems. I will also highlight how internal coercivity may provide a unifying perspective across these three problems.
Judith Vancostenoble