bibtype J - Journal Article
ARLID 0457879
utime 20240103212044.3
mtime 20160316235959.9
SCOPUS 84979787288
WOS 000369464500019
DOI 10.1016/j.jde.2015.11.018
title (primary) (eng) Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold
specification
page_count 19 s.
media_type P
serial
ARLID cav_un_epca*0256945
ISSN 0022-0396
title Journal of Differential Equations
volume_id 260
volume 5 (2016)
page_num 4454-4472
publisher
name Elsevier
keyword Parabolic partial differential equations
keyword State dependent delay
keyword Solution manifold
author (primary)
ARLID cav_un_auth*0329445
name1 Krisztin
name2 T.
country HU
author
ARLID cav_un_auth*0282033
full_dept (cz) Adaptivní systémy
full_dept Department of Adaptive Systems
department (cz) AS
department AS
full_dept Department of Adaptive Systems
name1 Rezunenko
name2 Oleksandr
institution UTIA-B
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2016/AS/rezunenko-0457879.pdf
cas_special
project
ARLID cav_un_auth*0284932
project_id GAP103/12/2431
agency GA ČR
abstract (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.
RIV BC
reportyear 2017
num_of_auth 2
mrcbC52 4 A hod 4ah 20231122141609.0
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0258401
mrcbC64 1 Department of Adaptive Systems UTIA-B 10101 MATHEMATICS
confidential S
mrcbC86 1* Article Mathematics
mrcbT16-e MATHEMATICS
mrcbT16-j 1.64
mrcbT16-s 2.548
mrcbT16-4 Q1
mrcbT16-B 89.67
mrcbT16-D Q1
mrcbT16-E Q1*
arlyear 2016
mrcbTft \nSoubory v repozitáři: rezunenko-0457879.pdf
mrcbU14 84979787288 SCOPUS
mrcbU34 000369464500019 WOS
mrcbU63 cav_un_epca*0256945 Journal of Differential Equations 0022-0396 1090-2732 Roč. 260 č. 5 2016 4454 4472 Elsevier