For odd-order quasilinear evolution systems on a bounded interval, unique weak solutions exist under smallness assumptions, and inverse problems with several integral overdetermination conditions have unique controls.
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On direct and inverse problems for odd-order systems of quasilinear evolution equations
For odd-order quasilinear evolution systems on a bounded interval, unique weak solutions exist under smallness assumptions, and inverse problems with several integral overdetermination conditions have unique controls.