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Systems of parabolic equations with delays: Continuous dependence on parameters.

Authors :
Kryspin, Marek
Mierczyński, Janusz
Source :
Journal of Differential Equations. Nov2024, Vol. 409, p532-591. 60p.
Publication Year :
2024

Abstract

Results on continuous dependence on parameters, as well as on regularization, of solutions to linear systems of parabolic partial differential equations of second order with delay are given. One of the main features is that the topology on the zero order and delay coefficients is the weak-* topology on an L ∞ space, whereas the assumptions on the second- and first-order coefficients are slightly stronger. This is important in the context of generation of linear skew-product dynamical systems by such equations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
409
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
179395883
Full Text :
https://doi.org/10.1016/j.jde.2024.07.039