Local attractivity in nonautonomous semilinear evolution equations

Local attractivity in nonautonomous semilinear evolution equations

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...

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Bibliographic Details
Main Authors: Blot Joël, Buşe Constantin, Cieutat Philippe
Format: Article
Language:English
Published: De Gruyter 2014-01-01
Series:Nonautonomous Dynamical Systems
Subjects:
semilinear evolution equation
evolution family
exponential stability
attractivity
Nemytskii operator
Online Access:http://www.degruyter.com/view/j/msds.2014.1.issue-1/msds-2014-0002/msds-2014-0002.xml?format=INT

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http://www.degruyter.com/view/j/msds.2014.1.issue-1/msds-2014-0002/msds-2014-0002.xml?format=INT

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