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Bibliography

Journal Article

Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold

Krisztin T., Rezunenko Oleksandr

: Journal of Differential Equations vol.260, 5 (2016), p. 4454-4472

: GAP103/12/2431, GA ČR

: Parabolic partial differential equations, State dependent delay, Solution manifold

: 10.1016/j.jde.2015.11.018

: http://library.utia.cas.cz/separaty/2016/AS/rezunenko-0457879.pdf

(eng): Classical solutions to PDEs with discrete state-dependent delay are studied. We prove the well-posedness in a set XF which is analogous to the solution manifold used for ordinary differential equations with statedependent delay. We prove that the evolution operators are C1-smooth on the solution manifold.

: BC