Re-Na Chu

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20232026

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math.CA2026

Counterexamples for generalizations of the non-elliptic Schrödinger maximal operator

Rena Chu

For $P = X_{1}^{2} + \dots + X_{n}^{2}$ , let $T_{t}^{P} f (x)$ denote the solution to the linear Schrödinger equation at time $t$ . In 1980, Carleson asked for the minimal regularity of an initial d…

math.CA2023

Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples

Rena Chu, Lillian B. Pierce

Let $T_{t}^{P_{2}} f (x)$ denote the solution to the linear Schrödinger equation at time $t$ , with initial value function $f$ , where $P_{2} (ξ) = ∣ ξ ∣^{2}$ . In 1980, Carleson asked for the mi…