Zhichao Wang

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math.AP2025

Sharp pointwise convergence of SchrÃ¶dinger mean with complex time in higher dimensions

Meng Wang, Zhichao Wang

In this paper, we establish the almost everywhere convergence of solutions to the SchrÃ¶dinger operator with complex time $P_{I^}^{3} f (x, t)$ in higher dimensions, under the assumption…

math.AP2025

Sharp pointwise convergence of SchrÃ¶dinger operator with complex time along curves

Binyu Wang, Zhichao Wang

In this paper, we study the almost everywhere convergence results of SchrÃ¶dinger operator with complex time along curves. We also consider the fractional cases. All results are sh…

math.AP2025

Sharp convergence rate of SchrÃ¶dinger operator along curves

Meng Wang, Zhichao Wang

We analyze convergence rate of SchrÃ¶dinger operator along curves $U_{I^}^{3} f (x, t)$ , where $f \in H^{s} (R^{d})$ . All results are sharp up to the endpoints.