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Jumps, cusps and fractals in the solution of dispersive equations

By Beatrice Pelloni

Appears in collection : Mathematical aspects of the physics with non-self-adjoint operators / Les aspects mathématiques de la physique avec les opérateurs non-auto-adjoints

I will discuss the unexpected changes in regularity in the behaviour of periodic solutions of dispersive equations, through the asymptotic study of their spectral structure.

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Citation data

  • DOI 10.24350/CIRM.V.20473903
  • Cite this video Pelloni, Beatrice (20/04/2026). Jumps, cusps and fractals in the solution of dispersive equations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20473903
  • URL https://dx.doi.org/10.24350/CIRM.V.20473903

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Bibliography

  • BOULTON, Lyonell, FARMAKIS, George, PELLONI, Beatrice, et al. Jumps and cusps: A new revival effect in local dispersive PDEs. arXiv preprint arXiv:2403.01117, 2024. - https://doi.org/10.48550/arXiv.2403.01117

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