Research Explorer

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Project

Pseudo-differential operators on homogeneous manifolds

Outputs and Outcomes

Publications

Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order

Manoj KumarVishvesh KumarMichael Ruzhansky

U Journal Article in INTERNATIONAL JOURNAL OF MATHEMATICS

Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere

Rong ZhangVishvesh KumarMichael Ruzhansky

U Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A direct method of moving planes for logarithmic Schrodinger operator

Rong ZhangVishvesh KumarMichael Ruzhansky

U Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity

Vishvesh KumarMichael RuzhanskyRong Zhang

U Journal Article in ANNALES FENNICI MATHEMATICI

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

Aparajita DasguptaVishvesh KumarShyam Swarup MondalMichael Ruzhansky

U Journal Article in JOURNAL OF EVOLUTION EQUATIONS

Functional Inequalities on Symmetric Spaces of Noncompact Type and Applications

Aidyn KassymovVishvesh KumarMichael Ruzhansky

U Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

Asymptotic Estimates for the Growth of Deformed Hankel Transform by Modulus of Continuity

Vishvesh KumarJoel RestrepoMichael Ruzhansky

U Journal Article in RESULTS IN MATHEMATICS

Titchmarsh theorem by modulus of continuity for the deformed Hankel–Lipschitz classes

Vishvesh KumarJoel Restrepo

Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity

Vishvesh KumarJoel RestrepoMichael Ruzhansky

A1 Journal Article in RESULTS IN MATHEMATICS

Heat and wave type equations with nonlocal operators : I. compact Lie groups

Wagner Augusto Almeida de MoraesJoel RestrepoMichael Ruzhansky

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

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

Arun Kumar BhardwajVishvesh KumarShyam Swarup Mondal

A1 Journal Article in PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Compact embeddings, eigenvalue problems, and subelliptic Brezis–Nirenberg equations involving singularity on stratified Lie groups

Sekhar GhoshVishvesh KumarMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE ANNALEN

Generalized fractional Dirac type operators

Joel RestrepoMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Symmetry of positive solutions for lane-emden systems involving the logarithmic Laplacian

Rong ZhangVishvesh KumarMichael Ruzhansky

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE