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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An update on the $$L^p$$-$$L^q$$ norms of spectral multipliers on unimodular Lie groups
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The resonances of the Capelli operators for small split orthosymplectic dual pairs
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- Journal Article
- open access
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups
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Compact embeddings, eigenvalue problems, and subelliptic Brezis–Nirenberg equations involving singularity on stratified Lie groups
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A light-weight CNN model for efficient Parkinson's disease diagnostics
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Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces
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Schrödinger equation on non-compact symmetric spaces
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- Journal Article
- A1
- open access
Oscillating singular integral operators on compact Lie groups revisited
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- Journal Article
- A1
- open access
Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction-diffusion equations
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- Journal Article
- A1
- open access
L2-Lp estimates and Hilbert–Schmidt pseudo differential operators on the Heisenberg motion group