Research Explorer

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Project

Functional estimates and evolution equations on Carnot groups

Outputs & Impact

Publications & research data ( 14 )

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

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

Marianna ChatzakouSerena FedericoBoguslaw Zegarlinski

A1 Journal Article in POTENTIAL ANALYSIS

Logarithmic Sobolev-type inequalities on Lie groups

Marianna ChatzakouAidyn KassymovMichael Ruzhansky

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

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

Revised logarithmic Sobolev inequalities of fractional order

Marianna ChatzakouMichael Ruzhansky

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

Log-Sobolev and Nash inequalities on graded groups

Marianna Chatzakou

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

Marianna ChatzakouAbhilash Tushir

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

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

Anisotropic Shannon inequality

Marianna ChatzakouAidyn KassymovMichael Ruzhansky

A1 Journal Article in OSAKA JOURNAL OF MATHEMATICS

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

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

Xuechao WangJunqing HuangMarianna ChatzakouKadri MedijainenPille TabaAaro ToomelaSven NommMichael Ruzhansky

On a class of anharmonic oscillators : II. General case

Marianna ChatzakouJulio DelgadoMichael Ruzhansky

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

Activities ( 0 )

Results

Impact narratives ( 0 )

Patents ( 0 )