Weighted estimates for differential operators with operator-valued coefficients
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Well posedness and control of semilinear wave equations with iterated logarithms
Piermarco Cannarsa, Vilmos Komornik, Paola Loreti (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Motivated by a classical work of Erdős we give rather precise necessary and sufficient growth conditions on the nonlinearity in a semilinear wave equation in order to have global existence for all initial data. Then we improve some former exact controllability theorems of Imanuvilov and Zuazua.
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