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

In: Functional Analysis and Evolution Equations

Author

Listed:
  • Philippe Clément

    (Leiden University, Mathematical Institute)

  • Rico Zacher

    (Naturwissenschaftliche Fakultät III, Martin-Luther-Universität Halle-Wittenberg, Institut für Mathematik)

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

Suggested Citation

  • Philippe Clément & Rico Zacher, 2007. "Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation," Springer Books, in: Herbert Amann & Wolfgang Arendt & Matthias Hieber & Frank M. Neubrander & Serge Nicaise & Joachim vo (ed.), Functional Analysis and Evolution Equations, pages 131-146, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7643-7794-6_8
    DOI: 10.1007/978-3-7643-7794-6_8
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