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General Parabolic Mixed Order Systems in Lp and Applications

af Robert Denk, Mario Kaip

indgår i Operator Theory: Advances and Applications serien

General Parabolic Mixed Order Systems in Lp and Applications af Robert Denk
Bag om General Parabolic Mixed Order Systems in Lp and Applications

We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity) which is the key step for the treatment of nonlinear problems. Results are obtained in different types of non-integer Lp-Sobolev spaces as Besov spaces, Bessel potential spaces, and Triebel-Lizorkin spaces.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783319019994
  • Indbinding:
  • Hardback
  • Sideantal:
  • 250
  • Udgivet:
  • 23. november 2013
  • Udgave:
  • 2013
  • Størrelse:
  • 240x165x19 mm.
  • Vægt:
  • 530 g.
  • 8-11 hverdage.
  • 10. december 2024
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We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity) which is the key step for the treatment of nonlinear problems. Results are obtained in different types of non-integer Lp-Sobolev spaces as Besov spaces, Bessel potential spaces, and Triebel-Lizorkin spaces.

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