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Strichartz estimates for the Dirac flow in Wiener amalgam spaces

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  • Seongyeon Kim
  • Hyeongjin Lee
  • Ihyeok Seo

Abstract

In this paper, we obtain some new Strichartz estimates for the Dirac flow in the context of Wiener amalgam spaces which control the local regularity of a function and its decay at infinity separately unlike Lp$L^p$ spaces. While it is well understood recently for some flows such as the Schrödinger and wave flows that work in the non‐relativistic regime, nothing is known about the Dirac flow which governs a physical system in the case of relativistic fields.

Suggested Citation

  • Seongyeon Kim & Hyeongjin Lee & Ihyeok Seo, 2023. "Strichartz estimates for the Dirac flow in Wiener amalgam spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 296(12), pages 5454-5468, December.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:12:p:5454-5468
    DOI: 10.1002/mana.202200252
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