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

0457879 20240103212044.320160316235959.9 84979787288 000369464500019 10.1016/j.jde.2015.11.018 Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold 19 s. P cav_un_epca*02569450022-0396Journal of Differential Equations2605 (2016)4454-4472Elsevier Parabolic partial differential equations State dependent delay Solution manifold cav_un_auth*0329445 Krisztin T. HU cav_un_auth*0282033 Adaptivní systémy Department of Adaptive Systems AS AS Department of Adaptive Systems Rezunenko Oleksandr UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/AS/rezunenko-0457879.pdf cav_un_auth*0284932 GAP103/12/2431 GA ČR 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 2017 2 4 A hod 4ah 20231122141609.0 RVO:67985556 http://hdl.handle.net/11104/0258401 1 Department of Adaptive Systems UTIA-B 10101 MATHEMATICS S 1* Article Mathematics MATHEMATICS 2.222 0.373 9.6 0.04025 1.64 12109 2.548 Q1 1.727 517 Q1 89.67 96 Q1 Q1* 95.981 2016 Soubory v repozitáři: rezunenko-0457879.pdf 84979787288 SCOPUS 000369464500019 WOS cav_un_epca*0256945 Journal of Differential Equations 0022-0396 1090-2732 Roč. 260 č. 5 2016 4454 4472 Elsevier