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Sharp regularity theory of second order hyperbolic equations with Neumann boundary control non-smooth in space

Sharp regularity theory of second order hyperbolic equations with Neumann boundary control non-smooth in space

The purpose of this paper is to complement available literature on sharp regularity theory of second order mixed hyperbolic problem of Neumann type [13,15,26] with a series of new results in the case--so far rather unexplored--where the Neumann boundary term (input, control) possesses a regularity below $L^2(\Gamma)$ in space on …