Well-posedness of delay parabolic equations with unbounded operators acting on delay terms
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Springeropen
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In the present paper, the well-posedness of the initial value problem for the delay differential equation dv(t)/dt + Av(t) = B(t) v(t -omega) + f (t), t >= 0; v(t) = g(t) (-omega <= t <= 0) in an arbitrary Banach space E with the unbounded linear operators A and B(t) in E with dense domains D(A) subset of D(B(t)) is studied. Two main theorems on well-posedness of this problem in fractional spaces E-alpha are established. In practice, the coercive stability estimates in Holder norms for the solutions of the mixed problems for delay parabolic equations are obtained.
Description
Keywords
Delay Parabolic Equations, Well-Posedness, Fractional Spaces, Coercive Stability Estimates, Differential Equations, Numerical-Methods, Stability
Journal or Series
Boundary Value Problems
WoS Q Value
Q1
Scopus Q Value
Q3
