3 papers
math.AP2026
On 1D mass subcritical nonlinear Schr\''odinger and Hartree equations in modulation spaces
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 in a certain modulation spaces $M^…
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 . When satisfies suitable curvatur…
math.AP2025
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 having radial initial data in modulation…