Local Well-Posedness of the Cauchy Problem for a p -Adic Nagumo-Type Equation

L. F. Chacón-Cortés, C. A. Garcia-Bibiano, W. A. Zúñiga-Galindo

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Abstract: We introduce a new family of p-adic nonlinear evolution equations. We establish the local well-posedness of the Cauchy problem for these equations in Sobolev-type spaces. For a certain subfamily, we show that the blow-up phenomenon occurs and provide numerical simulations showing this phenomenon.

Original languageEnglish
Pages (from-to)279-296
Number of pages18
JournalP-Adic Numbers, Ultrametric Analysis, and Applications
Volume14
Issue number4
DOIs
StatePublished - Dec 2022

Keywords

  • $p$-adic analysis
  • Sobolev-type spaces
  • blow-up phenomenon
  • pseudo-differential operators

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