Durvudkhan Suragan, PhD

Assistant Professor

Accepting PhD Students

  • 445 Citations
  • 14 h-Index
20082019
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Research Output 2008 2019

  • 445 Citations
  • 14 h-Index
  • 44 Article
  • 3 Conference contribution
  • 1 Book
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Article
2019
Sub-Laplacian
Comparison Principle
Positive Solution
Picone's Identity
Uniqueness

Hardy–Littlewood–Sobolev and Stein–Weiss inequalities on homogeneous Lie groups

Kassymov, A., Ruzhansky, M. & Suragan, D., Jan 1 2019, In : Integral Transforms and Special Functions.

Research output: Contribution to journalArticle

Homogeneous Groups
Lie groups
Norm

L p -Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups

Ozawa, T., Ruzhansky, M. & Suragan, D., Mar 1 2019, In : Quarterly Journal of Mathematics. 70, 1, p. 305-318 14 p.

Research output: Contribution to journalArticle

Open Access
Sharp Constants
Homogeneous Groups
Nilpotent Lie Group
Euclidean
Norm

On spectral and boundary properties of the volume potential for the Helmholtz equation

Kalmenov, T. S., Ruzhansky, M. & Suragan, D., Jan 1 2019, In : Mathematical Modelling of Natural Phenomena. 14, 5, 502.

Research output: Contribution to journalArticle

Spectral Geometry
Bessel Potential
Bessel Operator
Potential Operators
Nonlocal Boundary Value Problems

Weighted anisotropic Hardy and Rellich type inequalities for general vector fields

Ruzhansky, M., Sabitbek, B. & Suragan, D., Apr 1 2019, In : Nonlinear Differential Equations and Applications. 26, 2, 13.

Research output: Contribution to journalArticle

Vector Field
Valued Fields
Term
2018

$L^{p}$-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups

Ozawa, T., Ruzhansky, M. & Suragan, D., 2018, (Accepted/In press) In : Quarterly Journal of Mathematics.

Research output: Contribution to journalArticle

Sharp Constants
Homogeneous Groups
Nilpotent Lie Group
Euclidean
Norm
2 Citations (Scopus)

A comparison principle for nonlinear heat Rockland operators on graded groups

Ruzhansky, M. & Suragan, D., Jan 1 2018, (Accepted/In press) In : Bulletin of the London Mathematical Society.

Research output: Contribution to journalArticle

Comparison Principle
Heat
Sub-Laplacian
Boundedness of Solutions
Operator

A note on stability of Hardy inequalities

Ruzhansky, M. & Suragan, D., 2018, (Accepted/In press) In : Annals of Functional Analysis.

Research output: Contribution to journalArticle

Homogeneous Groups
Hardy Inequality
Stability Estimates
Remainder
Euclidean

Elements of Potential Theory on Carnot Groups

Ruzhansky, M. V. & Suragan, D., Apr 1 2018, In : Functional Analysis and its Applications. 52, 2, p. 158-161 4 p.

Research output: Contribution to journalArticle

Sub-Laplacian
Carnot Group
Potential Theory
Boundary value problems
Double Layer Potential

Green-type identities for Rockland operators on graded Lie groups

Mustafa, M. & Suragan, D., Jul 11 2018, (Accepted/In press) In : Complex Analysis and Operator Theory. p. 1-8 8 p., 1.

Research output: Contribution to journalArticle

Lie groups
Analogue
Operator

Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces

Suragan, D., Ruzhansky, M. & Yessirkegenov, N., 2018, In : Fractional Calculus and Applied Analysis. p. 577-612 36 p., 21(3).

Research output: Contribution to journalArticle

1 Citation (Scopus)

Horizontal Weighted Hardy–Rellich Type Inequalities on Stratified Lie Groups

Sabitbek, B. & Suragan, D., Aug 1 2018, In : Complex Analysis and Operator Theory. 12, 6, p. 1469-1480 12 p.

Research output: Contribution to journalArticle

Lie groups
Horizontal
Embedding Theorem

Isoperimetric inequalities for the cauchy-dirichlet heat operator

Kal’menov, T. S., Kassymov, A. & Suragan, D., Jan 1 2018, In : Filomat. 32, 3, p. 885-892 8 p.

Research output: Contribution to journalArticle

Isoperimetric Inequality
Cauchy
Dirichlet
Heat
Operator

Isoperimetric inequalities for the heat potential operator

Kal’menov, T. S., Kassymov, A. & Suragan, D., Jan 1 2018, In : Filomat. 32, 3, p. 903-910 8 p.

Research output: Contribution to journalArticle

Potential Operators
Isoperimetric Inequality
Circular Cylinder
Rayleigh
Euclidean
2 Citations (Scopus)

Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous Groups

Ruzhansky, M., Suragan, D. & Yessirkegenov, N., Feb 1 2018, In : Integral Equations and Operator Theory. 90, 1, 10.

Research output: Contribution to journalArticle

Homogeneous Groups
Hardy Inequality
Best Constants
Error term
Euler
1 Citation (Scopus)

Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups

Ruzhansky, M., Sabitbek, B. & Suragan, D., Jun 29 2018, (Accepted/In press) In : Revista Matematica Complutense. p. 1-17 17 p.

Research output: Contribution to journalArticle

Term
Hardy-type Inequality
Uncertainty Principle
2017
13 Citations (Scopus)

Anisotropic L 2 -weighted Hardy and L 2 -Caffarelli-Kohn-Nirenberg inequalities

Ruzhansky, M. & Suragan, D., Dec 1 2017, In : Communications in Contemporary Mathematics. 19, 6, 1750014.

Research output: Contribution to journalArticle

Caffarelli-Kohn-Nirenberg Inequalities
Homogeneous Groups
Best Constants
Error term
Norm
3 Citations (Scopus)

Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groups

Ruzhansky, M., Suragan, D. & Yessirkegenov, N., Oct 1 2017, In : Nonlinear Differential Equations and Applications. 24, 5, 56.

Research output: Contribution to journalArticle

Lie groups
Sharp Constants
Hardy Inequality
Equivalence
Range of data

Geometric maximizers of Schatten norms of some convolution type integral operators

Ruzhansky, M. & Suragan, D., Dec 1 2017, In : Journal of Mathematical Analysis and Applications. 456, 1, p. 444-456 13 p.

Research output: Contribution to journalArticle

Convolution
Integral Operator
Mathematical operators
Norm
Equilateral triangle
13 Citations (Scopus)

Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups

Ruzhansky, M. & Suragan, D., Sep 7 2017, In : Advances in Mathematics. 317, p. 799-822 24 p.

Research output: Contribution to journalArticle

Homogeneous Groups
Remainder
Higher Order
Sharp Constants
Order Type
7 Citations (Scopus)

Inégalités de Caffarelli–Kohn–Nirenberg étendues et super-poids des inégalités de Hardy Lp-pondérées

Translated title of the contribution: Extended Caffarelli–Kohn–Nirenberg inequalities and superweights for Lp-weighted Hardy inequalitiesRuzhansky, M., Suragan, D. & Yessirkegenov, N., Jun 1 2017, In : Comptes Rendus Mathematique. 355, 6, p. 694-698 5 p.

Research output: Contribution to journalArticle

Weighted Inequalities
Hardy Inequality
Hardy-type Inequality
Homogeneous Groups
Sharp Inequality

Inequalities for the eigenvalues of the Riesz potential

Kal’menov, T. S. & Suragan, D., Nov 1 2017, In : Mathematical Notes. 102, 5-6, p. 770-775 6 p.

Research output: Contribution to journalArticle

Riesz Potential
Ball
Eigenvalue
First Eigenvalue
Maximise
32 Citations (Scopus)

Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups

Ruzhansky, M. & Suragan, D., Feb 21 2017, In : Advances in Mathematics. 308, p. 483-528 46 p.

Research output: Contribution to journalArticle

Sub-Laplacian
Layer Potentials
Carnot Group
Homogeneous Groups
Hardy Inequality
14 Citations (Scopus)

Local hardy and rellich inequalities for sums of squares of vector fields

Ruzhansky, M. & Suragan, D., Jul 1 2017, In : Advances in Differential Equations. 22, 7-8, p. 505-540 36 p.

Research output: Contribution to journalArticle

Sum of squares
Vector Field
Sub-Laplacian
Lie groups
Uncertainty Principle
4 Citations (Scopus)

On Green functions for Dirichlet sub-Laplacians on H-type groups

Garofalo, N., Ruzhansky, M. & Suragan, D., Aug 15 2017, In : Journal of Mathematical Analysis and Applications. 452, 2, p. 896-905 10 p.

Research output: Contribution to journalArticle

Sub-Laplacian
Green's function
Boundary value problems
Dirichlet
Prototype
27 Citations (Scopus)

On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg and p-sub-Laplacian inequalities on stratified groups

Ruzhansky, M. & Suragan, D., Feb 5 2017, In : Journal of Differential Equations. 262, 3, p. 1799-1821 23 p.

Research output: Contribution to journalArticle

Sub-Laplacian
Horizontal
Hardy-type Inequality
Best Constants
2 Citations (Scopus)

On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator

Kassymov, A., Sadybekov, M. & Suragan, D., Jan 1 2017, In : Mathematical Modelling of Natural Phenomena. 12, 3, p. 114-118 5 p.

Research output: Contribution to journalArticle

Lipschitz Domains
Isoperimetric Inequality
Circular Cylinder
Circular cylinders
Cauchy
4 Citations (Scopus)

Some Spectral Geometry Inequalities for Generalized Heat Potential Operators

Kassymov, A. & Suragan, D., Aug 1 2017, In : Complex Analysis and Operator Theory. 11, 6, p. 1371-1385 15 p.

Research output: Contribution to journalArticle

Spectral Geometry
Potential Operators
Circular cylinders
Mathematical operators
Triangular
5 Citations (Scopus)

Uncertainty relations on nilpotent Lie groups

Ruzhansky, M. & Suragan, D., May 1 2017, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 473, 2201, 20170082.

Research output: Contribution to journalArticle

Lie groups
Uncertainty Relation
Nilpotent Lie Group
Quantum theory
Homogeneous Groups
2016
14 Citations (Scopus)

Communications of the Moscow mathematical society: On Schatten norms of convolution-type integral operators

Ruzhansky, M. V. & Suragan, D., Jan 1 2016, In : Russian Mathematical Surveys. 71, 1, p. 157-158 2 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Isoperimetric inequalities for Schatten norms of Riesz potentials

Rozenblum, G., Ruzhansky, M. & Suragan, D., Jul 1 2016, In : Journal of Functional Analysis. 271, 1, p. 224-239 16 p.

Research output: Contribution to journalArticle

Potential Operators
Riesz Potential
Isoperimetric Inequality
Norm
Nonlocal Boundary Value Problems
20 Citations (Scopus)

Isoperimetric inequalities for the logarithmic potential operator

Ruzhansky, M. & Suragan, D., Jan 1 2016, In : Journal of Mathematical Analysis and Applications. 434, 2, p. 1676-1689 14 p.

Research output: Contribution to journalArticle

Logarithmic Potential
Potential Operators
Isoperimetric Inequality
Boundary value problems
Mathematical operators
11 Citations (Scopus)

On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries

Ruzhansky, M. & Suragan, D., Jul 1 2016, In : Bulletin of Mathematical Sciences. 6, 2, p. 325-334 10 p.

Research output: Contribution to journalArticle

Spherical geometry
Lobachevskian geometry
Riesz Transform
Convolution
Extremum Problem
25 Citations (Scopus)

On KAC’S principle of not feeling the boundary for the kohn laplacian on the heisenberg group

Ruzhansky, M. & Suragan, D., Feb 1 2016, In : Proceedings of the American Mathematical Society. 144, 2, p. 709-721 13 p.

Research output: Contribution to journalArticle

Heisenberg Group
Boundary conditions
Integral Boundary Conditions
Smooth surface
High Power
2015
6 Citations (Scopus)

On permeable potential boundary conditions for the Laplace–Beltrami operator

Kal’menov, T. S. & Suragan, D., Nov 1 2015, In : Siberian Mathematical Journal. 56, 6, p. 1060-1064 5 p.

Research output: Contribution to journalArticle

Laplace-Beltrami Operator
Boundary conditions
Unit Sphere
Permeability
Boundary Value Problem
1 Citation (Scopus)

On spectral geometry for the one-speed particle transport operator

Suragan, D., May 28 2015, In : Computational Mathematics and Mathematical Physics. 55, 5, p. 844-847 4 p.

Research output: Contribution to journalArticle

Spectral Geometry
Particle Transport
First Eigenvalue
Mathematical operators
Euclidean space
2014
18 Citations (Scopus)

Initial-boundary value problems for the wave equation

Kalmenov, T. S. & Suragan, D., Feb 19 2014, In : Electronic Journal of Differential Equations. 2014

Research output: Contribution to journalArticle

Initial-boundary-value Problem
Wave equation
Uniqueness
2013

On eigenvalue problems of the one-speed neutron transport equation for isotropic scattering

Suragan, D., Aug 9 2013, In : Annals of Nuclear Energy. 62, p. 468-470 3 p.

Research output: Contribution to journalArticle

Neutrons
Scattering
21 Citations (Scopus)

On transparent boundary conditions for the high-order heat equation

Suragan, D. & Tokmagambetov, N., Apr 23 2013, In : Siberian Electronic Mathematical Reports. 10, 1, p. 141-149 9 p.

Research output: Contribution to journalArticle

Transparent Boundary Conditions
Higher order equation
Heat Equation
Initial-boundary-value Problem
Classical Solution
2012
37 Citations (Scopus)

Boundary conditions for the volume potential for the polyharmonic equation

Kal'menov, T. S. & Suragan, D., Apr 1 2012, In : Differential Equations. 48, 4, p. 604-608 5 p.

Research output: Contribution to journalArticle

Boundary conditions
36 Citations (Scopus)

On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation

Kal'menov, T. S. & Suragan, D., Mar 1 2012, In : Differential Equations. 48, 3, p. 441-445 5 p.

Research output: Contribution to journalArticle

Fundamental Solution
Dirichlet Problem
Green's function
Ball
Decompose
2009
38 Citations (Scopus)

To spectral problems for the volume potential

Kal'menov, T. S. & Suragan, D., Oct 1 2009, In : Doklady Mathematics. 80, 2, p. 646-649 4 p.

Research output: Contribution to journalArticle

Spectral Problem
Boundary conditions
Eigenvalue
Self-adjoint Operator
Poisson's equation
2008
37 Citations (Scopus)
A Priori Estimates
Boundary Value Problem
Differential equation
Differential operator
Boundary conditions