. . "2008-04-25+02:00"^^ . "0"^^ . "Kvalitativn\u00ED vlastnosti integrodiferenci\u00E1ln\u00EDch rovnic" . . "integrodifferential equations" . . . . . "GP201/06/P171" . . "Byly vy\u0159e\u0161eny n\u00E1sleduj\u00EDc\u00ED probl\u00E9my stanoven\u00E9 jako c\u00EDle projektu: Existence a jednozna\u010Dnost analytick\u00FDch \u0159e\u0161en\u00ED line\u00E1rn\u00EDch integrodiferenci\u00E1ln\u00EDch rovnic s analytick\u00FDmi konvolu\u010Dn\u00EDmi j\u00E1dry. Maxim\u00E1ln\u00ED Lp-regularita pro tyto rovnice. Existence a jednozna\u010Dnost"@cs . . "Z\u00E1m\u011Brem projektu je zkoumat maxim\u00E1ln\u00ED regularitu pro line\u00E1rn\u00ED integrodiferenci\u00E1ln\u00ED rovnice a vy\u0161et\u0159ovat neline\u00E1rn\u00ED integr\u00E1ln\u00ED a integrodiferenci\u00E1ln\u00ED rovnice souvisej\u00EDc\u00ED s\u00A0r\u016Fzn\u00FDmi modely veden\u00ED tepla v\u00A0materi\u00E1lech s\u00A0pam\u011Bt\u00ED. Jedn\u00E1 se hlavn\u011B o MacCamyho model a o model Brandonov\u00E9 a Hrusy. Hlavn\u00EDm c\u00EDlem je uk\u00E1zat lok\u00E1ln\u00ED a glob\u00E1ln\u00ED existenci \u0159e\u0161en\u00ED za fyzik\u00E1ln\u011B relevantn\u00EDch p\u0159edpoklad\u016F. P\u0159edm\u011Btem z\u00E1jmu bude rovn\u011B\u017E asymptotick\u00E9 chov\u00E1n\u00ED." . . . "2015-01-22+01:00"^^ . . . "2006-01-01+01:00"^^ . "integrodifferential equations; spectrum; asymptotic behavior; regularity"@en . . "2008-12-31+01:00"^^ . . . "7"^^ . "7"^^ . "The aim of this project is to investigate maximal regularity for linear integrodifferential equations and to study non-linear integral and integrodifferential equations describing various models of heat conduction in materials with memory, mainly MacCamy's model and the model of Brandon and Hrusa. The main goal\u00A0 is to show both local and global existence of the solutions under physically relevant assumptions and to determine long-time behavior of the solutions."@en . "http://www.isvav.cz/projectDetail.do?rowId=GP201/06/P171"^^ . "0"^^ . " asymptotic behavior" . "1"^^ . " spectrum" . "The following problems (goals of the project) were solved: Existence and uniqueness of analytic solutions for linear integrodifferential equations with analytic convolution kernels, Maximal Lp-regularity for these equations, Existence and uniqueness of i"@en . "Qualitative properties of integrodifferential equations"@en . . .