Jin-Bong Lee

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20222025

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math.AP2025

Strichartz and local smoothing estimates for the fractional Schrödinger equations over fractal time

Jin Bong Lee, Sanghyuk Lee, Luz Roncal

We obtain Strichartz-type estimates for the fractional Schrödinger operator $f \mapsto e^{i t (- Δ)^{γ /2}} f$ over a time set $E$ of fractal dimension. To obtain those estimates captu…

math.AP2023★ 1 cited

On the trace theorem to Volterra-type equations with local or non-local derivatives

Jae-Hwan Choi, Jin Bong Lee, Jinsol Seo +1

This paper considers traces at the initial time for solutions of evolution equations with local or non-local derivatives in vector-valued $L_{p}$ spaces with $A_{p}$ weight. To achieve…