Vijay Kumar Sohani

activity

20122026

most citedNonlinear Schrödinger equation for the twisted Laplacian

3 citations · 3 across the 7 of their papers we have counts for

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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.AP2025

On 1D mass subcritical nonlinear Schr\''odinger and Hartree equations in modulation spaces $M^{p, p^{'}} (p < 2)$

Divyang G. Bhimani, Diksha Dhingra, Vijay Kumar Sohani

We establish well-posedness theory for the 1D mass-subcritical nonlinear Schrödinger equation (NLS) having power-type nonlinearity $∣ u ∣^{α - 1} u$ in a certain modulation spaces $M^{p…

On the Boundedness of Hypersingular Integrals Along Certain Radial Hypersurfaces

On 1D mass subcritical nonlinear Schr\''odinger and Hartree equations in modulation spaces Mp,p′ (p<2)

On 1D mass subcritical nonlinear Schr\''odinger and Hartree equations in modulation spaces $M^{p, p^{'}} (p < 2)$