Vijay Kumar Sohani

collaborators

3 papers

math.FA2025

On the Boundedness of Hypersingular Integrals Along Certain Radial Hypersurfaces

Sajin Vincent A W, Aniruddha Deshmukh, Vijay Kumar Sohani

We study a class of oscillatory hypersingular integral operators associated to a radial hypersurface of the form $Γ (t) = (t, φ (t)), t \in R n$ . When $φ$ satisfies suitable curvature a…

math.AP2024

Fractional nonlinear Schrödinger and Hartree equations in modulation spaces

Divyang G. Bhimani, Diksha Dhingra, Vijay Kumar Sohani

We establish global well-posedness for the mass subcritical nonlinear fractional Schrödinger equation $i u_{t} - (- Δ)^{\frac{β}{2}} u + F (u) = 0$ having radial initial data in modulation sp…

math.AP2024

Low-regularity global solution of the inhomogeneous nonlinear Schrödinger equations in modulation spaces

Divyang G. Bhimani, Diksha Dhingra, Vijay Kumar Sohani

The study of low regularity Cauchy data for nonlinear dispersive PDEs has successfully been achieved using modulation spaces $M^{p, q}$ in recent years. In this paper, we study the…