M. Goldberg

activity

20032023

most citedSchrödinger dispersive estimates for a scaling-critical class of potentials

52 citations · 427 across the 30 of their papers we have counts for

collaborators

Showing 2013 · math.APShow all

2 papers · 2 filters

math.AP2013★ 45 cited

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

M. Burak Erdogan, Michael Goldberg, William R. Green

We investigate $L^{1} (R^{4}) \to L^{\infty} (R^{4})$ dispersive estimates for the Schrödinger operator $H = - Δ + V$ when there are obstructions, a resonance or an eigenvalue, at…

math.AP2013★ 4 cited

The Klein-Gordon Equation on $Z^{2}$ and the Quantum Harmonic Lattice

Vita Borovyk, Michael Goldberg

The discrete Klein-Gordon equation on a two-dimensional square lattice satisfies an $ℓ^{1} \mapsto ℓ^{\infty}$ dispersive bound with polynomial decay rate $∣ t ∣^{- 3/4}$ . We determ…

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

The Klein-Gordon Equation on Z2 and the Quantum Harmonic Lattice

The Klein-Gordon Equation on $Z^{2}$ and the Quantum Harmonic Lattice