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Simplified a priori estimate for the time periodic Burgers' equation

På svenska

Author

  • Magnus Fontes
  • Olivier Verdier

Summary, in English

We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers' equation with irregular forcing terms (with Sobolev regularity -1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing terms with regularity -1/2 in time.

Publishing year

2010

Language

English

Pages

34-41

Publication/Series

Proceedings of the Estonian Academy of Sciences

Volume

59

Issue

1

Document type

Journal article

Publisher

Estonian Academy Publishers

Topic

  • Mathematics

Keywords

  • Sobolev spaces
  • distributions
  • periodic solutions
  • Burgers' equation
  • time-periodic

Status

Published

ISBN/ISSN/Other

  • ISSN: 1736-7530