Shyam Swarup Mondal

activity

20192026

most citedHausdorff operators associated with the Opdam--Cherednik transform in Lebesgue spaces

12 citations · 32 across the 29 of their papers we have counts for

collaborators

34 papers

math.AP2026

Orthonormal Strichartz estimates for the Schrödinger equations with Hamiltonian on Wiener amalgam spaces

Ramesh Manna, Shyam Swarup Mondal, Sarthak Tiwari

The main objective of this paper is to investigate orthonormal Strichartz estimates for Schrödinger equation on the Wiener amalgam space $W (F L^{p}, L^{q})$ . More p…

math.FA2026

Sharp Time-Decay Estimates for Fractional Heat Semigroups Associated with Polynomial Anharmonic Oscillators

Julio Delgado, Vishvesh Kumar, Shyam Swarup Mondal

We investigate fractional heat semigroups generated by a class of anharmonic oscillators on $R^{n}$ of the form $H_{P, Q} = Q (D) + P (x),$ where $P \in P_{2 k}$ and…

math.AP2025

Strichartz estimates for higher order Schrödinger equations with Partial regular initial data

Vishvesh Kumar, Shyam Swarup Mondal, Iswarya Sitiraju +1

In this paper, we establish refined Strichartz estimates for higher-order Schrödinger equations with initial data exhibiting partial regularity. By partial regularity, we mean that…

math.FA2025

Orthonormal Strichartz estimates for Dunkl-Schrödinger equation of initial data with Sobolev regularity

Guoxia Feng, Shyam Swarup Mondal, Manli Song +1

Let $Δ_{κ}$ be the Dunkl-Laplacian on $R^{n}$ . The main aim of this paper is to investigate the orthonormal Strichartz estimates for the Schrödinger equation with initial data…

math.AP2025

Fractional semilinear damped wave equation on the Heisenberg group

Aparajita Dasgupta, Shyam Swarup Mondal, Abhilash Tushir

This paper aims to investigate the Cauchy problem for the semilinear damped wave equation for the fractional sub-Laplacian $(- L_{H})^{α}$ , $α > 0$ on the Heisenberg…

math.FA2024

Orthonormal Strichartz inequalities and their applications on abstract measure spaces

Guoxia Feng, Shyam Swarup Mondal, Manli Song +1

The main objective of this paper is to extend certain fundamental inequalities from a single function to a family of orthonormal systems. In the first part of the paper, we conside…

math.AP2024

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case

Vishvesh Kumar, Shyam Swarup Mondal, Michael Ruzhansky +1

Let $G$ be a graded Lie group with homogeneous dimension $Q$ . In this paper, we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving a posi…

math.AP2024

Non-harmonic analysis of the wave equation for Schrödinger operators with complex potential

Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal

This article investigates the wave equation for the Schrödinger operator on $R^{n}$ , denoted as $H_{0} := - Δ + V$ , where $Δ$ is the standard Laplacian and $V$ is a com…

math.FA2024

Decay estimates for a class of Dunkl wave equations

Cheng Luo, Shyam Swarup Mondal, Manli Song

Let $Δ_{κ}$ be the Dunkl Laplacian on $R^{n}$ and $ϕ : R^{+} \to R$ is a smooth function. The aim of this manuscript is twofold. First, we study the decay estim…

math.AP2024

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces

Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal +1

Let $G$ be a graded Lie group with homogeneous dimension $Q$ . In this paper, we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving a posi…

math.AP2024

Time-fractional discrete diffusion equation for Schrödinger operator

Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky +1

This article aims to investigate the semi-classical analog of the general Caputo-type diffusion equation with time-dependent diffusion coefficient associated with the discrete Schr…

math.AP2024

Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order

Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal +1

In this paper, we focus on studying the Cauchy problem for semilinear damped wave equations involving the sub-Laplacian $L$ on the Heisenberg group $H^{n}$ with po…

math.FA2023

Non-harmonic $M$ -elliptic pseudo differential operators on manifolds

Aparajita Dasgupta, Vishvesh Kumar, Lalit Mohan +1

In this article, we introduce and study $M$ -elliptic pseudo-differential operators in the framework of non-harmonic analysis of boundary value problems on a manifold $Ω$ with bound…

math.AP2023

On local dispersive and Strichartz estimates for the Grushin operator

Sunit Ghosh, Shyam Swarup Mondal, Jitendriya Swain

Let $G = - Δ - ∣ x ∣^{2} \partial_{t}^{2}$ denote the Grushin operator on $R^{n + 1}$ . The aim of this paper is two fold. In the first part, due to the non-dispersive phenomena of the G…

math.AP2023

Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential

Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky +1

In this article, we investigate the semiclassical version of the wave equation for the discrete Schrödinger operator, $H_{ℏ, V} := - ℏ^{- 2} L_{ℏ} + V$ on t…

math.FA2023

Multilinear Fourier Integral operators on modulation spaces

Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal

In this article, we study properties of multilinear Fourier integral operators on weighted modulation spaces. In particular, using the theory of Gabor frames, we study boundedness…

math.CA2022

Restriction theorem for Fourier-Dunkl transform II: Paraboloid, sphere, and hyperboloid surfaces

P Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal +1

This is a continuation of the paper "Restriction theorem for Fourier-Dunkl transform I: Cone surface, J. Pseudo-Differ. Oper. Appl. 14(1), Paper No. 5 (2023)", where the authors in…

math.CA2022

Restriction theorem for the Fourier-Dunkl transform I: Cone surface

P Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal +1

In this article, we define the Fourier-Dunkl transform, which generalizes the Fourier transform. We prove Strichartz's restriction theorem for the Fourier-Dunkl transform for a con…

math.AP2022

Nonlinear fractional damped wave equation on compact Lie groups

Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal

In this paper, we deal with the initial value fractional damped wave equation on $G$ , a compact Lie group, with power-type nonlinearity. The aim of this manuscript is twofold. Firs…

math.FA2022★ 1 cited

Orthonormal Strichartz inequalities for the $(k, a)$ -generalized Laguerre operator and Dunkl operator

Shyam Swarup Mondal, Manli Song

Let $Δ_{k, a}$ and $Δ_{k}$ be the $(k, a)$ -generalized Laguerre operator and the Dunkl Laplacian operator on $R^{n}$ , respectively. The aim of this article is twofold. First, w…

math.FA2022

Weighted periodic and discrete Pseudo-Differential Operators

Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal

In this paper, we study elements of symbolic calculus for pseudo-differential operators associated with the weighted symbol class $M_{ρ, Λ}^{m} (T \times Z)$ (associ…

math.AP2022★ 2 cited

Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups

Arun Kumar Bhardwaj, Vishvesh Kumar, Shyam Swarup Mondal

Let $G$ be a compact Lie group. In this article, we investigate the Cauchy problem for a nonlinear wave equation with the viscoelastic damping on $G$ . More preciously, we investiga…

math.AP2022★ 1 cited

Nonlinear fractional wave equation on compact Lie groups

Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal

Let $G$ be a compact Lie group. In this article, we consider the initial value fractional wave equation with power-type nonlinearity on $G$ . Mainly, we investigate some $L^{2}-L^{2…

math.FA2021

Symbolic calculus and $M$ -ellipticity of pseudo-differential operators on $Z^{n}$

Vishvesh Kumar, Shyam Swarup Mondal

In this paper, we introduce and study a class of pseudo-differential operators on the lattice $Z^{n}$ . More preciously, we consider a weighted symbol class $M_{ρ, Λ}^m(\math…

Orthonormal Strichartz estimates for the Schrödinger equations with Hamiltonian on Wiener amalgam spaces

Sharp Time-Decay Estimates for Fractional Heat Semigroups Associated with Polynomial Anharmonic Oscillators

Strichartz estimates for higher order Schrödinger equations with Partial regular initial data

Orthonormal Strichartz estimates for Dunkl-Schrödinger equation of initial data with Sobolev regularity

Fractional semilinear damped wave equation on the Heisenberg group

Orthonormal Strichartz inequalities and their applications on abstract measure spaces

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case

Non-harmonic analysis of the wave equation for Schrödinger operators with complex potential

Decay estimates for a class of Dunkl wave equations

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces

Time-fractional discrete diffusion equation for Schrödinger operator

Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order

Non-harmonic M-elliptic pseudo differential operators on manifolds

On local dispersive and Strichartz estimates for the Grushin operator

Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential

Multilinear Fourier Integral operators on modulation spaces

Restriction theorem for Fourier-Dunkl transform II: Paraboloid, sphere, and hyperboloid surfaces

Restriction theorem for the Fourier-Dunkl transform I: Cone surface

Nonlinear fractional damped wave equation on compact Lie groups

Orthonormal Strichartz inequalities for the (k,a)-generalized Laguerre operator and Dunkl operator

Weighted periodic and discrete Pseudo-Differential Operators

Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups

Nonlinear fractional wave equation on compact Lie groups

Symbolic calculus and M-ellipticity of pseudo-differential operators on Zn

Non-harmonic $M$ -elliptic pseudo differential operators on manifolds

Orthonormal Strichartz inequalities for the $(k, a)$ -generalized Laguerre operator and Dunkl operator

Symbolic calculus and $M$ -ellipticity of pseudo-differential operators on $Z^{n}$