1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2019★ 1 cited
Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
D. Mukherjee, P. T. Nam, P. T. Nguyen
We consider the focusing nonlinear Schrödinger equation with the critical inverse square potential. We give the first proof of the uniqueness of the ground state solution. Conseque…
math.PR2017
Strong Solutions of Stochastic Models for Viscoelastic Flows of Oldroyd Type
Utpal Manna, Debopriya Mukherjee
In this work we study stochastic Oldroyd type models for viscoelastic fluids in . We show existence and uniqueness of strong local maximal solutions when the…
math.OC2017
Internal Stabilization of a Class of Parabolic Integro-Differential Equations: Application to Viscoelastic Fluids
Sheetal Dharmatti, Utpal Manna, Debopriya Mukherjee
In this paper, we prove the stabilizability of abstract Parabolic Integro-Differential Equations (PIDE) in a Hilbert space with decay rate for certain by means o…