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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Biharmonic wave maps into spheres
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by Sebastian Herr, Tobias Lamm and Roland Schnaubelt
Proc. Amer. Math. Soc. 148 (2020), 787-796
DOI: https://doi.org/10.1090/proc/14744
Published electronically: August 7, 2019
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Abstract:

A global weak solution of the biharmonic wave map equation in the energy space for spherical targets is constructed. The equation is reformulated as a conservation law and solved by a suitable Ginzburg-Landau-type approximation.
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Bibliographic Information
  • Sebastian Herr
  • Affiliation: Fakultät für Mathematik, Universität Bielefeld, Postfach 10 01 31, 33501 Bielefeld, Germany
  • MR Author ID: 785145
  • Email: herr@math.uni-bielefeld.de
  • Tobias Lamm
  • Affiliation: Department of Mathematics, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany
  • MR Author ID: 748462
  • Email: tobias.lamm@kit.edu
  • Roland Schnaubelt
  • Affiliation: Department of Mathematics, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany
  • MR Author ID: 603222
  • Email: schnaubelt@kit.edu
  • Received by editor(s): December 10, 2018
  • Received by editor(s) in revised form: June 24, 2019
  • Published electronically: August 7, 2019
  • Additional Notes: The second and third author gratefully acknowledge financial support by the Deutsche Forschungsgemeinschaft (DFG) through CRC 1173.
  • Communicated by: Joachim Krieger
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 787-796
  • MSC (2010): Primary 35L75, 58J45
  • DOI: https://doi.org/10.1090/proc/14744
  • MathSciNet review: 4052215