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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- Journal Article
- A1
- open access
Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order
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Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere
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- Journal Article
- A1
- open access
On time‐fractional partial differential equations of time‐dependent piecewise constant order
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A direct method of moving planes for logarithmic Schrodinger operator
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- Journal Article
- A1
- open access
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order
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- Journal Article
- A1
- open access
Functional inequalities on symmetric spaces of noncompact type and applications
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- Journal Article
- A1
- open access
Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity
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Modern problems in PDEs and applications : extended abstracts of the 2023 GAP Center Summer School
Marianna Chatzakou (UGent) , Joel Restrepo (UGent) , Michael Ruzhansky (UGent) , Berikbol Torebek (UGent) and Karel Van Bockstal (UGent) -
On inverse source problems for space-dependent sources in thermoelasticity
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- Journal Article
- A1
- open access
A numerical scheme for solving an induction heating problem with moving non-magnetic conductor