Subhash. R. Choudhary

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math.AP2026

Pointwise convergence for single-particle Schrödinger equation and Schrödinger equation with infinitely many particles on the torus and waveguide manifolds

Divyang G. Bhimani, Subhash R. Choudhary

In 1980, Carleson posed a question about the least regularity required for initial data in a Sobolev space $H^{s}$ to ensure pointwise convergence of the solution to the single parti…

math.AP2026

Refined Strichartz estimates and their orthornomal counterparts for Schrödinger equations on torus

Divyang G. Bhimani, Subhash. R. Choudhary, S. S. Mondal

The aim of the paper is twofold. We establish refined Strichartz estimates for the Schrödinger equation on tori within the framework of partial regularity. As a result, we reveal t…

math.AP2025

Orthonormal Strichartz estimates on torus and waveguide manifold and applications

Divyang G. Bhimani, Subhash. R. Choudhary

We establish new orthonormal Strichartz estimates for the fractional Schrödinger equations on torus $T$ and waveguide manifold $R^{n} \times T^{m}$ . We generaliz…