Photo Credit: My lovely wife, Dr. Anjali Shriwastawa

I am an Assistant Professor in the Department of Mathematical Sciences, IIT (BHU), Varanasi, India.

Broad Research Interests:

(Abstract) harmonic analysis
Pseudo-differential operators
Partial differential equations on Lie groups and manifolds
Geometric analysis.

Address (office): Office No. 304, Second floor, Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh, 221005, India.

Email: vishvesh.mat@iitbhu.ac.in vishveshmishra@gmail.com

Selected Publications

Fujita-type results for the semilinear heat equations driven by mixed local-nonlocal operators, (with B. T. Torebek), J. Differential Equations 465, 114241, (2026).
Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups, (with S. Ghosh and M. Ruzhansky), Calc. Var. Partial Differential Equations 65(28), (2026).
Lp-Lq hypergeometric spectral and Fourier multipliers associated with root systems, Potential Analysis 63, (2025) 1517–1538.
(with S. Ghosh and M. Ruzhansky) Compact Embeddings, Eigenvalue Problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups, Mathematische Annalen 388, (2024) 4201–4249. (Open Access).
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order, (with A. Dasgupta, S. S. Mondal and M. Ruzhansky), J. Evolution Equations 24(51), (2024).
Symbolic calculus and M-ellipticity of pseudo-differential operators on Zn, (with S. S. Mondal), Analysis and Applications (Singapore) 21(06), (2023), 1447-1475.
Lp-Lq boundedness of (k, a)-Fourier multipliers with applications to nonlinear equations, (with M. Ruzhansky), International Mathematics Research Notices no. 2, (2023) 1073-1093. (Open Access)
Lp-boundedness and Lp-nuclearity of multilinear pseudo-diﬀerential operators on Zn and the torus Tn, (with D. Cardona) , J. Fourier Analysis and Applications, 25(6) (2019), 2973-3017.
Hypergroup deformations of semigroups, (with Kenneth A. Ross and Ajit Iqbal Singh), Semigroup Forum 99(1) (2019), 169-195.