Ghent University Academic Bibliography

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

Vishvesh Kumar (UGent) , Shyam Swarup Mondal, Michael Ruzhansky (UGent) and Berikbol Torebek (UGent)

(2025) JOURNAL OF EVOLUTION EQUATIONS. 25(3).
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Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states

Michael Ruzhansky (UGent) and Nurgissa Yessirkegenov

(2022) COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. 24(08).
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Green's identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups

Michael Ruzhansky (UGent) and Durvudkhan Suragan

(2020) POTENTIAL ANALYSIS. 53(2). p.645-658
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Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations

Michael Ruzhansky (UGent) , Niyaz Tokmagambetov (UGent) and Nurgissa Yessirkegenov (UGent)

(2020) CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 59(5).
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Inverse source problems for positive operators, I : hypoelliptic diffusion and subdiffusion equations

Michael Ruzhansky (UGent) , Niyaz Tokmagambetov (UGent) and Berikbol Torebek (UGent)

(2019) JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. 27(6). p.891-911
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Elements of Potential Theory on Carnot Groups

Michael Ruzhansky (UGent) and D Suragan

(2018) FUNCTIONAL ANALYSIS AND ITS APPLICATIONS. 52(2). p.158-161
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On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and p-sub-Laplacian inequalities on stratified groups

Michael Ruzhansky (UGent) and Durvudkhan Suragan

(2017) JOURNAL OF DIFFERENTIAL EQUATIONS. 262(3). p.1799-1821
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Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups

Michael Ruzhansky (UGent) and Durvudkhan Suragan

(2017) ADVANCES IN MATHEMATICS. 308. p.483-528
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On Green functions for Dirichlet sub-Laplacians on H-type groups

Nicola Garofalo, Michael Ruzhansky (UGent) and Durvudkhan Suragan

(2017) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 452(2). p.896-905
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Uncertainty relations on nilpotent Lie groups

Michael Ruzhansky (UGent) and Durvudkhan Suragan

(2017) PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. 473(2201).

Academic Bibliography

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

Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states

Green's identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups

Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations

Inverse source problems for positive operators, I : hypoelliptic diffusion and subdiffusion equations

Elements of Potential Theory on Carnot Groups

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

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

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

Uncertainty relations on nilpotent Lie groups

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