Analysis and PDE in Developing Countries
Description
The current volume collects selected contributions from the ISAAC-ICMAM Conference of Analysis in Developing Countries 2024 , organised jointly by the International Society for Analysis, its Applications and Computation (ISAAC) and the International Community of Mathematicians from Latin America (ICMAM Latin America). Topics covered include microlocal analysis, spectral theory, Clifford and hypercomplex analysis, pseudo-differential and Fourier integral operators, harmonic analysis over non-commutative structures, PDE on nilpotent Lie groups, fractional diffusion models, conservation laws, and dispersive equations. This book will be of interest to researchers working in these topics.
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Persons
Duván Cardona Sánchez is an FWO Research Fellow at Ghent University and a member of the Ghent Analysis and PDE Center. He is currently the Scientific Director of ICMAM Latin America and a member of the Board of Directors of ISAAC.
Uwe Kähler is a Professor at the University of Aveiro in Portugal. He served as President of ISAAC from 2021 to 2025 and is currently an Officer and a member of the Board of Directors of ISAAC. He is also the Coordinator of the group of Complex and Hypercomplex Analysis at CIDMA ( Center for Research and Development in Mathematics and Applications ).
Content
Chapter 1. Microlocal hypoellipticity in the seventies.- Chapter 2. A life in Mathematical Analysis: A conversation with Luigi Rodino.- Chapter 3. The zeros of nonlinearities and multiplicity of solutions for nonlinear elliptic problems.- Chapter 4. Nontrivial solutions to boundary value problems for semilinear ?a,ß a1,ß1-differential equations.- Chapter 5. Nonsmooth Pseudodifferential Operators on Smooth Manifolds.- Chapter 6. Multiplicity of Nonradial Solutions for Elliptic Problems via an Abstract Approach and Uniqueness of Nodal Radial Solutions.- Chapter 7. On the prehistory, history, and a convexity approach to prove Hardy-type inequalities.- Chapter 8. Heat Kernels and Riesz Transforms Related to Some Schrodinger Type operators.- Chapter 9. A note on Kato's smoothing effect for a dispersive model arising in capillary-gravity flows.- Chapter 10. Metaplectic time-frequency representations.- Chapter 11. A review on critical nonlinearities for some evolution equations.- Chapter 12. Huygens' Principle for the Klein-Gordon equation in FLRW spacetime with spatial hyperbolic sections.- Chapter 13. Theoretical analysis of a parabolic equation with nonlocal terms.- Chapter 14. Analysis of the exponential stability of some beam-string-beam transmission problems.- Chapter 15. Mathematical Modeling of Methamphetamine Market Dynamics: Insights into User-Gang-Cartel Interactions and Policy Implications.- Chapter 16. On quadrature formulas for a simple layer potential.- Chapter 17. A two-phase Stefan problem with power-type temperature-dependent thermal conductivity.- Chapter 18. Simultaneous optimal control problems for elliptic hemivariational inequalities.- Chapter 19. The directional short-time fractional Fourier transform of Schwartz test functions and distributions.- Chapter 20. New Solvability Conditions for Boundary Value Problems for Monogenic and Polymonogenic Functions on Fractal Domains.- Chapter 21. Fourier Analysis meets Quantum Groupoids. Towards a Noncommutative Harmonic Framework for Local Symmetries.- Chapter 22. Regularity of Nonlinear Parabolic Black-Scholes Equations via Boundedness of Generalized Exponentially Damped Bessel-Riesz Potentials in Variable Herz Spaces.- Chapter 23. Review: Boundedness of Multiplier Operators in the Walsh System.
