Project: Analysis and Partial Differential Equations
2021-01-01 – 2027-12-31
- Abstract
The analysis of partial differential equations (PDEs) occupies a central place among a wide range of sciences. Processes of evolution or static models, starting from the groundbreaking works of Isaac Newton, are described by PDEs of different types. The project aims at pursuing their mathematical analysis: frame decompositions, noncommutative analysis, equations with singularities, evolution PDEs, fractional analysis and inverse problems.
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Heat equation with singular thermal conductivity
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- Journal Article
- A1
- open access
The weak (1,1) boundedness of Fourier integral operators with complex phases
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- Journal Article
- A1
- open access
Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle
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PointExplainer : towards transparent Parkinson’s disease diagnosis
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Nearness and solvability of non-invariant equations on stratified groups
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Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications
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- Journal Article
- A1
- open access
Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups
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Lp-Lq boundedness of Fourier multipliers on quantum Euclidean spaces
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- Journal Article
- A1
- open access
Cylindrical extensions of critical Sobolev type inequalities and identities
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Numerical identification of a time-dependent coefficient in a time-fractional diffusion equation with integral constraints