Ministry of Education
Vijay Kumar Sohani
VIDWAN ID: 93811

Dr Vijay Kumar Sohani

Male Doctor of Philosophy
Assistant Professor | Department of Mathematics
Indian Institute of Technology, Indore
Madhya Pradesh
Expertise: Mathematics
ORCID 0000-0002-9385-0009 Scopus 55646241400 Google Scholar ht7i4qZ5kAAAAJ
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8 Publications
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25 Scopus Citations
20 CrossRef
9 Years 7 Months Total Experience
Publications
8 Total
Articles
8
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25 Citations
4 h-index
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20 Citations
4 h-index
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Personal Details

Doctor of Philosophy
2014
N/A
Assistant Professor
Feb 2017 – Present
Indian Institute of Technology, Indore | Department of Mathematics
Physical Sciences
Mathematics

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Scholarly Publications

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

Journal Article
Journal of Differential Equations. Year: 2026. Volume: 458 .
Authors: Divyang G. Bhimani; Diksha Dhingra; Vijay Kumar Sohani
DOI 10.1016/j.jde.2026.114106

GENERALIZED HARDY’S INEQUALITIES WITH NONLINEAR INTEGRATION LIMITS

Open Access
Journal Article
Journal of Mathematical Inequalities. Year: 2025. Volume: 19 , Issue: 1 , Pages: 649-656 .
Authors: Sajin Vincent A. W.; Vijay Kumar Sohani
DOI 10.7153/jmi-2025-19-40

Dispersion estimates for the discrete Hermite operator

Journal Article
Indian Journal of Pure and Applied Mathematics. Year: 2021. Volume: 52 , Issue: 3 , Pages: 773-786 .
Authors: Vijay Kumar Sohani; Devendra Tiwari
DOI 10.1007/s13226-021-00137-1

A Hardy-Sobolev inequality for the twisted Laplacian

Journal Article
Proceedings of the Royal Society of Edinburgh, Section: A Mathematics. Year: 2017. Volume: 147 , Issue: 1 , Pages: 1-23 .
Authors: Adimurthi; P. K. Ratnakumar; Vijay Kumar Sohani
DOI 10.1017/S0308210516000081 Crossref Crossref: 4 Scopus Scopus: 4

Nonlinear Schrödinger equation and the twisted Laplacian-Global well posedness

Journal Article
Mathematische Zeitschrift. Year: 2015. Volume: 280 , Issue: 1-2 , Pages: 583-605 .
Authors: P. K. Ratnakumar; Vijay Kumar Sohani
DOI 10.1007/s00209-015-1438-3 Crossref Crossref: 4 Scopus Scopus: 6

Nonlinear Schrödinger equation for the twisted Laplacian

Open Access
Journal Article
Journal of Functional Analysis. Year: 2013. Volume: 265 , Issue: 1 , Pages: 1-27 .
Authors: P.K. Ratnakumar; Vijay Kumar Sohani
DOI 10.1016/j.jfa.2013.03.004 Crossref Crossref: 6 Scopus Scopus: 7

Nonlinear Schrödinger equation for the twisted Laplacian in the critical case

Journal Article
Indian Journal of Pure and Applied Mathematics. Year: 2017. Volume: 48 , Issue: 1 , Pages: 117-132 .
Authors: Sohani, V.K.
DOI 10.1007/s13226-017-0214-y

Strichartz estimates for the schrödinger propagator for the laguerre operator

Journal Article
Proceedings - Mathematical Sciences. Year: 2013. Volume: 123 , Issue: 4 , Pages: 525-537 .
Authors: Sohani, V.K.
DOI 10.1007/s12044-013-0144-5 Crossref Crossref: 6 Scopus Scopus: 8