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Well-posedness of infinite-dimensional non-autonomous passive boundary control systems

The second author gratefully acknowledges support from Deutsche Forschungsgemeinschaft (Grant LA 4197/1-1)

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  • We study a class of non-autonomous linear boundary control and observation systems that are governed by non-autonomous multiplicative perturbations. This class is motivated by fundamental partial differential equations, such as controlled wave equations and Timoshenko beams. Our main results give sufficient condition for well-posedness, existence and uniqueness of classical and mild solutions.

    Mathematics Subject Classification: 93C25, 47D06, 93C20.


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