Global smooth solutions for a quasilinear fractional evolution equation

被引：0
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作者：
Emilia Bazhlekova
Philippe Clément
机构：
[1] Institute of Mathematics,
[2] Bulgarian Academy of Sciences,undefined
[3] Acad. G. Bontchev str.,undefined
[4] bl. 8,undefined
[5] 1113 Sofia,undefined
[6] Bulgaria,undefined
[7] e-mail: bajlekova@hotmail.com,undefined
[8] Dept. of Applied Mathematical Analysis,undefined
[9] Technische Universiteit Delft,undefined
[10] Mekelweg 4,undefined
[11] 2628 CD Delft,undefined
[12] The Netherlands,undefined
[13] e-mail: ph.p.j.e.clement@its.tudelft.nl,undefined
来源：
Journal of Evolution Equations | 2003年 / 3卷
关键词：
Mathematics Subject Classification2000: Primary 45K05; Secondary 35M99.¶Key words: fractional derivative, integrodifferential equation, $ L^p(L^q) $ maximal regularity.;
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学科分类号：
摘要：
The global existence of smooth solutions to a class of quasilinear fractional evolution equations is proved. The proofs are based on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ L^p(L^q) $\end{document} maximal regularity results for the corresponding linear equations.
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页码：237 / 246
页数：9
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