Rita Teixeira da Costa

activity

20192023

most citedMode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes

34 citations · 65 across the 6 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

gr-qc2020★ 4 cited

Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $∣ a ∣ < M$ : frequency space analysis

Yakov Shlapentokh-Rothman, Rita Teixeira da Costa

This paper is the first of a series regarding the Teukolsky equation of spin $\pm 1$ and spin $\pm 2$ on Kerr backgrounds in the full subextremal range of parameters $∣ a ∣ < M$ . In th…

math.OC2020

Numerical evidence towards a positive answer to Morrey's problem

André Guerra, Rita Teixeira da Costa

We report on numerical experiments suggesting that rank-one convexity imples quasiconvexity in the planar case. We give a simple heuristic explanation of our findings.

Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range ∣a∣<M: frequency space analysis

Numerical evidence towards a positive answer to Morrey's problem

Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $∣ a ∣ < M$ : frequency space analysis