Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation

Philippe Clément () and Rico Zacher ()
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Philippe Clément: Leiden University, Mathematical Institute
Rico Zacher: Naturwissenschaftliche Fakultät III, Martin-Luther-Universität Halle-Wittenberg, Institut für Mathematik

A chapter in Functional Analysis and Evolution Equations, 2007, pp 131-146 from Springer

Abstract: Abstract We study a quasilinear fractional evolution equation, which is of order four in space and 1 + β in time, where β ∈ (0, 1). Under the restriction β

Keywords: Fractional derivative; quasilinear equation; integrodifferential equation; continuous interpolation space; maximal regularity; a priori estimates (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_8

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DOI: 10.1007/978-3-7643-7794-6_8

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