The Analysis and PDEs Research Group conducts research in core areas of mathematical analysis and their applications to partial differential equations and continuum models. A central focus of the group is Harmonic Analysis, Complex Analysis, and Operator Theory, which provide the functional-analytic and spectral framework for understanding linear and nonlinear operators. These tools are applied to the rigorous study of partial differential equations, including questions of existence, uniqueness, regularity, stability, and long-time behavior of solutions.
The group is also active in the analysis of nonlinear PDEs arising from conservation laws and fluid mechanics, where analytical techniques are used to investigate wave propagation, shock formation, and stability phenomena. Complementary research in Fixed Point Theory, inequalities, and convexity supports the development of existence theory and variational methods, while topological methods contribute to qualitative analysis and solution structure. Collectively, the group’s work integrates functional analysis, topology, and applied PDE theory to address both foundational analytical questions and mathematically rigorous models of physical systems.
Department Members in this Field
Faculty
- Prof Benoît Florent Sehba Harmonic Analysis, Complex Analysis, Operator Theory
- Dr Vincent T. Teyekpiti Analysis of PDEs, Conservation Laws, Fluid Mechanics
- Dr Anton Asare-Tuah Fixed Point Theory, Analysis, Inequalities and Convexity, Topology
- Dr Emmanuel Djabang Analysis
Graduate Students
- Emmanuel Kofi Adu-Gyamfi (M.Phil. Candidate -- Current)
- Linda Naa Adjeley Botchway (Ph.D. Candidate -- Current)
Publications
- Anton Asare-Tuah, Emmanuel Djabang, Eyram A. K. Schwinger, Benoit F. Sehba, and Ralph A. Twum. A two-parameter deformation of the gamma function, associated functions, and some related inequalities, 2025, arXiv:2507.08888.
- Jean-Marcel Tanoh Dje, Benoit Florent Sehba, and Vincent Tetteh Teyekpiti. Norm estimates for hilbert-type operators on logarithmic lebesgue spaces of the positive half-line. Results in Mathematics, 80(1):36, 2025.
- Asare-Tuah, A., Gonessa, J., & Sehba, B. F. (2023). Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators. Monatshefte fur Mathematik, 201, 11-51. D.O.I: 10.1007/s00605-023-01852-z.