Rose–Hulman Institute of Technology

output

20002026

most citedChimera states: Coexistence of coherence and incoherence in networks of coupled oscillators

801 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2017 · math.APShow all

3 papers · 2 filters

math.AP2017★ 13 cited

Dispersive estimates for massive Dirac operators in dimension two

M. Burak Erdoğan, William R. Green, Ebru Toprak

We study the massive two dimensional Dirac operator with an electric potential. In particular, we show that the $t^{- 1}$ decay rate holds in the $L^{1} \to L^{\infty}$ setting if the th…

math.AP2017★ 17 cited

Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions

Burak Erdogan, Michael Goldberg, William R. Green

In this paper we consider Dirac operators in $R^{n}$ , $n \geq 2$ , with a potential $V$ . Under mild decay and continuity assumptions on $V$ and some spectral assumptions on the…

math.AP2017★ 17 cited

On the $L^{p}$ boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions

Burak Erdogan, Michael Goldberg, William R. Green

Let $H = - Δ + V$ be a Schrödinger operator on $L^{2} (R^{2})$ with real-valued potential $V$ , and let $H_{0} = - Δ$ . If $V$ has sufficient pointwise decay, the wave operators $W_{\pm}=s-…

Dispersive estimates for massive Dirac operators in dimension two

Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions

On the Lp boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions

On the $L^{p}$ boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions