Research Explorer

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Researcher

Marianna Chatzakou

Publications & Research Data

Awards & Distinctions

28 Results

2025

Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations

Duvan Cardona SanchezMarianna ChatzakouJulio DelgadoVishvesh KumarMichael Ruzhansky

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Discrete heat equation with irregular thermal conductivity and tempered distributional data

Marianna ChatzakouAparajita DasguptaMichael RuzhanskyAbhilash Tushir

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

2024

An efficient neural network for the diagnosis of Parkinson’s disease using dynamic handwriting analysis

Xuechao WangSven NõmmJunqing HuangMarianna ChatzakouMichael Ruzhansky

Anisotropic Shannon inequality

Marianna ChatzakouAidyn KassymovMichael Ruzhansky

A1 Journal Article in OSAKA JOURNAL OF MATHEMATICS

Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease

Xuechao WangJunqing HuangMarianna ChatzakouSven NõmmElli VallaKadri MedijainenPille TabaAaro ToomelaMichael Ruzhansky

A1 Journal Article in BIOMEDICAL SIGNAL PROCESSING AND CONTROL

Log-Sobolev and Nash inequalities on graded groups

Marianna Chatzakou

Logarithmic Sobolev-type inequalities on Lie groups

Marianna ChatzakouAidyn KassymovMichael Ruzhansky

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

LSTM-CNN : an efficient diagnostic network for Parkinson's disease utilizing dynamic handwriting analysis

Xuechao WangJunqing HuangMarianna ChatzakouKadri MedijainenAaro ToomelaSven NommMichael Ruzhansky

A1 Journal Article in COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE

Modern problems in PDEs and applications : extended abstracts of the 2023 GAP Center Summer School

On inverse source problems for space-dependent sources in thermoelasticity

Frederick MaesKarel Van Bockstal

Performing particle image segmentation on an extremely small dataset

Marianna ChatzakouJunqing HuangBogdan ParakhonskiyMichael RuzhanskyAndre SkirtachJunnan SongXuechao Wang

q-Poincaré inequalities on Carnot groups with Filiform type Lie algebra

Marianna ChatzakouSerena FedericoBoguslaw Zegarlinski

A1 Journal Article in POTENTIAL ANALYSIS

Revised logarithmic Sobolev inequalities of fractional order

Marianna ChatzakouMichael Ruzhansky

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

Semi-classical pseudo-differential operators on hZ^n and applications

Linda N. A. BotchwayMarianna ChatzakouMichael Ruzhansky

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Very weak solution of the discrete heat equation with irregular time-dependent thermal conductivity

Marianna ChatzakouAbhilash Tushir

2023

A light-weight CNN model for efficient Parkinson's disease diagnostics

Xuechao WangJunqing HuangMarianna ChatzakouKadri MedijainenPille TabaAaro ToomelaSven NommMichael Ruzhansky

L^p-L^q boundedness of Fourier multipliers associated with the anharmonic oscillator

Marianna ChatzakouVishvesh Kumar

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

2022

Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case

Marianna ChatzakouMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Fractional Schrödinger equations with singular potentials of higher order : II. hypoelliptic case

Marianna ChatzakouMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in REPORTS ON MATHEMATICAL PHYSICS

Lp -Lq boundedness of spectral multipliers of the anharmonic oscillator

Marianna ChatzakouVishvesh Kumar

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

On a class of anharmonic oscillators : II. General case

Marianna ChatzakouJulio DelgadoMichael Ruzhansky

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

The heat equation with singular potentials : II. hypoelliptic case

Marianna ChatzakouMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

2021

A note on spectral multipliers on Engel and Cartan groups

Marianna Chatzakou

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Estimates for polynomial norms on Banach spaces

Marianna ChatzakouYiannis Sarantopoulos

A2 Journal Article in DOLOMITES RESEARCH NOTES ON APPROXIMATION

On a class of anharmonic oscillators

Marianna ChatzakouJulio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Quantizations on the Engel and the Cartan groups

Marianna Chatzakou

A1 Journal Article in JOURNAL OF LIE THEORY

2020

On (λ,μ)-classes on the Engel group

Marianna Chatzakou

2019

Bernstein and Markov-type inequalities for polynomials on Lp(μ) spaces

Marianna ChatzakouYannis Sarantopoulos

A2 Journal Article in DOLOMITES RESEARCH NOTES ON APPROXIMATION