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Global smooth solutions for a quasilinear fractional evolution equation

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Book cover Nonlinear Evolution Equations and Related Topics

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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.

Dedicated to the memory of Philippe Bénilan

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bontchev str., bl. 8, Sofia, 1113, Bulgaria

    Emilia Bazhlekova

  2. Dept. of Applied Mathematical Analysis, Technische Universiteit Delft, Mekelweg 4, Delft, 2628 CD, The Netherlands

    Philippe Clément

Authors
  1. Emilia Bazhlekova
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  2. Philippe Clément
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Editor information

Editors and Affiliations

  1. Department of Applied Analysis, University of Ulm, 89069, Ulm, Germany

    Wolfgang Arendt

  2. Analyse Numérique, Université Pierre et Marie Curie, B.C. 187, 4, place Jussieu, 75252, Paris Cedex 05, France

    Haïm Brézis

  3. Department of Mathematics Hill Center, Busch Campus, Rutgers University, 110 Frelinghuysen RD, Piscataway, NJ, 08854, USA

    Haïm Brézis

  4. Campus de Ker Lann, Antenne de Bretagne de l’ENS Cachan, 35170, Bruz, France

    Michel Pierre

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© 2003 Springer Basel AG

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Bazhlekova, E., Clément, P. (2003). Global smooth solutions for a quasilinear fractional evolution equation. In: Arendt, W., Brézis, H., Pierre, M. (eds) Nonlinear Evolution Equations and Related Topics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7924-8_13

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  • DOI: https://doi.org/10.1007/978-3-0348-7924-8_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-7107-4

  • Online ISBN: 978-3-0348-7924-8

  • eBook Packages: Springer Book Archive

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