Singular Optimal Control for a Transport-Diffusion Equation

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A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit (2010, background): “The controllability of parabolic equation in higher dimensions was established independently by Fursikov and Imanuvilov (see [7]) and Lebeau and Robbiano (see [13]) in slightly different frameworks, and with different methods (both using the so-called Carleman estimates, though).”
A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels (2020, background): “Such a convergence result would also give additional insights into questions related to control theory (see [4]), in the spirit of [22, 34, 29, 47].”