Identificazione per problemi differenziali degeneri di tipo iperbolico

A degenerate identification problem in Hilbert space is considered. An application to second order evolution equations of hyperbolic type is also provided. The abstract results are applied to concrete differential problems.Un problema degenere di identificazione in uno spazio di Hilbert viene descritto. Una applicazione ad equazioni di evoluzione del secondo ordine é anche fornita. Tutti i risultati astratti sono applicati a problemi differenziali concreti

On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations

For those semigroups, which may have power type singularities and whose generators are abstract multivalued linear operators, we characterize the behaviour with respect to a certain set of intermediate and interpolation spaces. The obtained results are then applied to provide maximal time regularity for the solutions to a wide class of degenerate integro- and non-integro-differential evolution equations in Banach spaces

Degenerate non-stationary differential equations with delay in Banach spaces

AbstractA generalization of the operator method by Grisvard is used to ensure weak and strict solutions to some degenerate differential equations with delay in Banach spaces, whose operator coefficients are time depending. Some applications to ordinary and partial differential equations with delay are described

QUASILINEAR DEGENERATE EVOLUTION EQUATIONS IN BANACH SPACES

The quasilinear degenerate evolution equation of parabolic type / +L(Mυ) υ=F(Mυ), 0/+A(υ) υ∍F(υ), 0 are multivalued linear operators in X for υ ∈K, K being a bounded ball ||u|| Z <R in another Banach space Z continuously embedded in X. Existence and uniqueness of the local solution for the related Cauchy problem are given. The results are applied to quasilinear elliptic-parabolic equations and systems.This is the author-created version of Springer, Journal of Evolution Equations, Vol.4, No.3, 2004, 421-449. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/s00028-004-0169-