Mathematics > Analysis of PDEs
[Submitted on 18 Jul 2022]
Title:Parabolic Differential Equations with Bounded Delay
View PDFAbstract:We show the continuous dependence of solutions of linear nonautonomous second order parabolic partial differential equations (PDEs) with bounded delay on coefficients and delay. The assumptions are very weak: only convergence in the weak-* topology of delay coefficients is required. The results are important in the applications of the theory of Lyapunov exponents to the investigation of PDEs with delay.
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