Project: Analysis and Partial Differential Equations (APDE)
2018-10-01 – 2026-09-30
- Abstract
The project will be concentrating on developing different directions of analysis (microlocal analysis, harmonic analysis, time-frequency analysis, spectral analysis) and their interplay among themselves but, most importantly, with the theory of partial differential equations.
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- Journal Article
- A1
- open access
Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease
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- Journal Article
- A1
- open access
Wave equation for Sturm-Liouville operator with singular potentials
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- Journal Article
- A1
- open access
Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity
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- Journal Article
- A1
- open access
A note on best constants for weighted integral Hardy inequalities on homogeneous groups
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- Journal Article
- A1
- open access
Generalised Hardy type and Rellich type inequalities on the Heisenberg group
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- Journal Article
- A1
- open access
Smoothing and Strichartz estimates for degenerate Schrödinger-type equations
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- Journal Article
- A1
- open access
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups
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- Journal Article
- A1
- open access
Anisotropic Shannon inequality
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Heat and wave type equations with nonlocal operators : I. compact Lie groups
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Titchmarsh theorems for Hölder-Lipschitz functions on profinite groups