In this paper we study local and global in time existence for a class of nonlinear evolution equations having order eventually greater than 2 and not integer. The linear operator has an homogeneous damping term; the nonlinearity is of polynomial type without derivatives. Since we are treating an absorbing nonlinear term, large data solutions can be considered.
Large Data Solutions for Semilinear Higher Order Equations
Sandra Lucente
2020-01-01
Abstract
In this paper we study local and global in time existence for a class of nonlinear evolution equations having order eventually greater than 2 and not integer. The linear operator has an homogeneous damping term; the nonlinearity is of polynomial type without derivatives. Since we are treating an absorbing nonlinear term, large data solutions can be considered.File in questo prodotto:
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