Global smooth solutions for a quasilinear fractional evolution equation

Emilia Bazhlekova () and Philippe Clément ()
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Emilia Bazhlekova: Bulgarian Academy of Sciences, Institute of Mathematics
Philippe Clément: Technische Universiteit Delft, Dept. of Applied Mathematical Analysis

A chapter in Nonlinear Evolution Equations and Related Topics, 2003, pp 237-246 from Springer

Abstract: Abstract The global existence of smooth solutions to a class of quasilinear fractional evolution equations is proved. The proofs are based on L p (L q ) maximal regularity results for the corresponding linear equations.

Keywords: Primary 45K05; Secondary 35M99; fractional derivative; integtodifferential equation; L p (L q ) maximal regularity (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_13

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DOI: 10.1007/978-3-0348-7924-8_13

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