M. Erdoğan

activity

20122025

most citedDispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy

45 citations · 163 across the 14 of their papers we have counts for

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3 papers · 1 filter

math.AP2025

The $L^{p}$ -continuity of wave operators for fractional order Schrödinger operators

M. Burak Erdogan, Michael Goldberg, William Green

We consider fractional Schrödinger operators $H = (- Δ)^{α} + V (x)$ in $n$ dimensions with real-valued potential $V$ when $n > 2 α$ , $α > 1$ . We show that the wave operators extend to bounded…

math.AP2025

Dispersive estimates for fractional order Schrödinger operators

M. Burak Erdogan, Michael Goldberg, William Green

We prove dispersive bounds for fractional Schrödinger operators on $R^{n}$ of the form $H = (- Δ)^{α} + V$ with $V$ a real-valued, decaying potential and $α \in / N$ . We deri…

math.AP2025

$L^{p}$ boundedness of wave operators for higher order schrödinger operators with threshold eigenvalues

M. Burak Erdogan, William R. Green, Kevin LaMaster

We consider the higher order Schrödinger operator $H = (- Δ)^{m} + V (x)$ in $n$ dimensions with real-valued potential $V$ when $n > 2 m$ , $m \in N$ when $H$ has a threshold eigenvalue…

The Lp-continuity of wave operators for fractional order Schrödinger operators

Dispersive estimates for fractional order Schrödinger operators

Lp boundedness of wave operators for higher order schrödinger operators with threshold eigenvalues

The $L^{p}$ -continuity of wave operators for fractional order Schrödinger operators

$L^{p}$ boundedness of wave operators for higher order schrödinger operators with threshold eigenvalues