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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.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…
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 in recent years. In this paper, we study the…