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Global smooth solutions for a quasilinear fractional evolution equation

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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.

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Authors and Affiliations

  1. Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bontchev str., bl. 8, 1113 Sofia, Bulgaria, e-mail: bajlekova@hotmail.com, , , , , , BL

    Emilia Bazhlekova

  2. Dept. of Applied Mathematical Analysis, Technische Universiteit Delft, Mekelweg 4, 2628 CD Delft, The Netherlands, e-mail: ph.p.j.e.clement@its.tudelft.nl, , , , , , NL

    Philippe Clément

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  1. Emilia Bazhlekova
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  2. Philippe Clément
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RID="h1"

ID="h1"Dedicated to the memory of Philippe Bénilan

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Bazhlekova, E., Clément, P. Global smooth solutions for a quasilinear fractional evolution equation. J.evol.equ. 3, 237–246 (2003). https://doi.org/10.1007/s00028-003-0092-0

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  • DOI: https://doi.org/10.1007/s00028-003-0092-0

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