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Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold
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SYSNO ASEP 0457879 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold Author(s) Krisztin, T. (HU)
Rezunenko, Oleksandr (UTIA-B) RIDNumber of authors 2 Source Title Journal of Differential Equations. - : Elsevier - ISSN 0022-0396
Roč. 260, č. 5 (2016), s. 4454-4472Number of pages 19 s. Publication form Print - P Language eng - English Country US - United States Keywords Parabolic partial differential equations ; State dependent delay ; Solution manifold Subject RIV BC - Control Systems Theory R&D Projects GAP103/12/2431 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000369464500019 EID SCOPUS 84979787288 DOI 10.1016/j.jde.2015.11.018 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2017
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