Jin Bong Lee

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math.AP2025

A regularity theory for an initial value problem with a time-measurable pseudo-differential operator in a weighted $L_{p}$ -space

Jae-Hwan Choi, Ildoo Kim, Jin Bong Lee

In this study, we investigate the existence, uniqueness, and maximal regularity estimates of solutions to homogeneous initial value problems involving time-measurable pseudo-differ…

math.AP2025

Strichartz and local smoothing estimates for the fractional SchrÃ¶dinger equations over fractal time

Jin Bong Lee, Sanghyuk Lee, Luz Roncal

We obtain Strichartz-type estimates for the fractional SchrÃ¶dinger operator $f \mapsto e^{i t (- I^)^{I^^{3} /2}} f$ over a time set $E$ of fractal dimension. To obtain those estimates ca…

A regularity theory for an initial value problem with a time-measurable pseudo-differential operator in a weighted Lp​-space

Strichartz and local smoothing estimates for the fractional SchrÃ¶dinger equations over fractal time

A regularity theory for an initial value problem with a time-measurable pseudo-differential operator in a weighted $L_{p}$ -space