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Application to the KPZ equation

  • Peter K. Friz
  • Martin Hairer
Chapter
  • 190 Downloads
Part of the Universitext book series (UTX)

Abstract

We show how the theory of regularity structures can be used to build a robust solution theory for the KPZ equation. We also give a very short survey of the original approach to the same problem using controlled rough paths and we discuss how the two approaches are linked.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Peter K. Friz
    • 1
    • 3
  • Martin Hairer
    • 2
  1. 1.Institut für MathematikTechnische Universität BerlinBerlinGermany
  2. 2.Department of MathematicsImperial College LondonLondonUK
  3. 3.Weierstraß-Institut für Angewandte Analysis und StochastikBerlinGermany

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