The restriction problem on the ellipsoid

Chi Hin Chan*, Magdalena Czubak, Tsuyoshi Yoneda

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Following a restriction argument in the Euclidean space, we derive a geometric invariant formula for a possible viscosity operator for an incompressible fluid flow on an ellipsoid embedded in R3. We also give an asymptotic expansion of the formula in terms of the eccentricity associated with the ellipsoid.

Original languageEnglish
Article number127358
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - 1 Nov 2023


  • Ellipsoid
  • Extension
  • Restriction
  • Viscosity operator


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