Local attractivity in nonautonomous semilinear evolution equations
Joël Blot ; Constantin Buşe ; Philippe Cieutat
Nonautonomous Dynamical Systems, Tome 1 (2014), / Harvested from The Polish Digital Mathematics Library
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We study the local attractivity of mild solutions of equations in the form u’(t) = A(t)u(t) + f (t, u(t)), where A(t) are (possible) unbounded linear operators in a Banach space and where f is a (possible) nonlinear mapping. Under conditions of exponential stability of the linear part, we establish the local attractivity of various kinds of mild solutions. To obtain these results we provide several results on the Nemytskii operators on the space of the functions which converge to zero at infinity

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:266550 
@article{bwmeta1.element.doi-10_2478_msds-2014-0002,
     author = {Jo\"el Blot and Constantin Bu\c se and Philippe Cieutat},
     title = {Local attractivity in nonautonomous semilinear evolution equations},
     journal = {Nonautonomous Dynamical Systems},
     volume = {1},
     year = {2014},
     zbl = {1288.35058},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_msds-2014-0002}
}

Joël Blot; Constantin Buşe; Philippe Cieutat. Local attractivity in nonautonomous semilinear evolution equations. Nonautonomous Dynamical Systems, Tome 1 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_msds-2014-0002/

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