Book: Analysis and PDE in Developing Countries
Published in: Research Perspectives Ghent Analysis and PDE Center, Springer-Birkhäuser.
Cited as: Cardona, D., Kähler, U. (eds) Analysis and PDE in developing Countries. Proceedings of the ISAAC-ICMAM Conference 2024. Trends in Mathematics, vol 17. Birkhäuser, Cham, 2026.
Fields: Analysis and PDE.
Editors: Duván Cardona and Uwe Kähler
Springer Link
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.
Book: Analysis and PDE in Latin America
Published in: Research Perspectives Ghent Analysis and PDE Center, Springer-Birkhäuser.
Cited as: Cardona, D., Grajales, B. (eds) Analysis and PDE in Latin America. ICMAM 2023-2024. Trends in Mathematics, vol 15. Birkhäuser, Cham, 2025.
Fields: Analysis and PDE.
Editors: Duván Cardona and Brian Grajales
Springer Link
This book is the third in a series of books dedicated to publishing extended abstracts of the activities of ICMAM Latin America (International Community of Mathematicians from Latin America). This book includes selected contributions of speakers at the ICMAM Latin America Satellite Conference on Analysis and PDE 2023. This book is a comprehensive collection of the latest advancements in the fields of Analysis and Partial Differential Equations (PDE) in Latin America.
This book is an essential resource for mathematicians, researchers, and students interested in the latest developments in Analysis and PDE.
List of Authors and Articles in this Book
Local and Global Solutions to the Periodic Problem for the Nonlinear Damped Wave Equation
Alex Pico-Amaya, Cristian Rojas-Milla
………… 1
On Decay of Solutions to Some Nonlinear Dispersive Equations
Alexander Muñoz García
………… 9
Stabilisation of the Linear Turing Model
Amattouch Mohamed Ridouan
………… 17
Sectorial Pseudodifferential Operators in
Weymar A. Astaiza Sulez, Pedro T. P. Lopes
………… 25
Blow up of Solutions for Pseudo-Parabolic Equation with m-Sub-Laplacian Operators
Azizbek Mamanazarov, Khumoyun Jabbarkhanov
………… 33
Instability of Equilibrium Solutions for a Logarithmic Heat Equation in Banach Algebras
César Adolfo Hernández Melo, Laura Massuda Crema
………… 41
Analysis of Decay Rates for n-Widths and Covering Numbers on the Complex Sphere
Deimer José Julio Aleans
………… 49
Boundedness of Pseudo-Differential Operators on the Torus via Kernel Estimates
Duván Cardona, Manuel Alejandro Martínez
………… 53
Mathematics and Memory: A Seminar of Analysis and Differential Equations for Latin America
Duván Cardona, Tovias Castro, Santiago Correa, Richard De la Cruz
………… 63
Hilbert Spaces of Nonabsolutely Integrable Functions
Fernanda Andrade da Silva, K. Gonzalez, T. Jordão
………… 71
Schrödinger-Bopp-Podolsky Systems in Bounded Domains: Existence of Normalised Solutions
Gaetano Siciliano
………… 81
Some Results on Prescribed Curvature Problems: Symmetry and Iteration Schemes
Jonatán Torres Orozco
………… 89
Zero Relaxation Limit for a Non-Strictly Hyperbolic System Arising in Traffic Flow with Dominant Diffusion
José David Beltrán, Tong Li
………… 101
Quantum States as Countable Convex Combination of Pure States with Bounded Energy
Juan Pablo Lopez
………… 111
Nonlocal to Local Caginalp Model
Juliana H. Lopes, Pedro T. P. Lopes
………… 115
A Simple Proof of Metric Independence of Sobolev Norms on Compact Manifolds
Carlos D. Velázquez-Mendoza, María de los Ángeles Sandoval-Romero
………… 125
On the Regularity of the Oberbeck-Boussinesq Equations
Haroldo R. Clark, Eduardo Notte-Cuello, Marko Rojas-Medar
………… 135
Lawson Cones and the Allen-Cahn Equation
Oscar Agudelo, Matteo Rizzi
………… 145
Bessel-Type Activation Functions in the Classification of Medical Images
F. Freitas, M. M. Rodrigues, N. Vieira
………… 157
Book: Women in Mathematics in Latin America
Published in: Research Perspectives Ghent Analysis and PDE Center, Springer-Birkhäuser.
Cited as: Pamela E. Harris, Jaqueline G. Mesquita, Yuriko Pitones (eds). Women in Mathematics in Latin America. ICMAM 2024. Trends in Mathematics, vol 12. Birkhäuser, Cham, 2025.
Project: Women in Mathematics, ICMAM Latin America & International Mathematical Union.
Fields: Analysis, Algebra, Geometry, Topology, Combinatorics, Number theory
Editors: Yuriko Pitones, Pamela Harris, and Jaqueline Mesquita.
Springer Link
This volume is a collection of extended abstracts authored by women mathematicians in Latin America. The contributions included span key areas such as analysis, partial differential equations, algebraic geometry, and combinatorics. Beyond the technical content, the volume reflects on the impact of women in mathematics in Latin America and forms part of the broader initiative led by the International Community of Mathematicians from Latin America (ICMAM) to foster visibility of researchers in Latin America.
This volume celebrates the role of women in advancing mathematics in Latin America.
Book: Analysis and PDE in Latin America
Published in: Research Perspectives Ghent Analysis and PDE Center, Springer-Birkhäuser.
Cited as: Cardona, D., Grajales, B. (eds) Analysis and PDE in Latin America. ICMAM 2022. Trends in Mathematics, vol 10. Birkhäuser, Cham, 2024.
Fields: Analysis and PDE.
Editors: Duván Cardona and Brian Grajales;
Springer Link
This book presents the extended abstracts of the 2022 International Conference: Multidisciplinary Aspects in Mathematics and its applications (ICMAM) Latin America conference. The book presents the current state of the art in Analysis and PDEs in Latin America. Topics include: PDE models describing epidemics, population dynamics, climatological risks, oil prospection, impedance tomography in the detection of medical diseases, and abstract theory of PDEs. The extended abstracts presented in this book includes contributions by several renowned mathematicians in analysis and PDEs.
List of Authors and Articles in this Book
Elliptic Problems with Concave and Convex Nonlinearities
Oscar Agudelo, Bernhard Ruf, and Carlos Vélez
………… 1Dynamics for Linear Fractional Composition Operator on H2(C+)
Carlos F. Álvarez, Javier Henríquez-Amador, and Francisco Montero-Barrios
………… 8Recent Results for Delayed Chemostat Models with Non-constant Nutrient Supply
Pablo Amster
………… 15Computing Cohomology Spaces of Left-Invariant Involutive Structures on SU(2)
Gabriel Araújo
………… 24Travelling Waves for a Class of Internal Dispersive Systems
José R. Quintero and Gilberto Arenas-Díaz
………… 32Global Hypoellipticity for Time-Periodic Evolution Equations: Insights from Eigenfunction Expansions
Fernando de Ávila Silva and Alexandre Kirilov
………… 41Local Null Controllability of the Smagorinsky-Boussinesq Model
João Carlos F. Barreira and Juan Límaco
………… 49A Common Fixed Point Theorem for Two Functions Defined on a Hyperbolic Value Metric Space
Wilmer Barrera
………… 57A Note on the Critical Length Phenomenon for the Korteweg–de Vries Equation
Roberto de A. Capistrano–Filho
………… 62Comparison Results for Parabolic Problems with Variable Exponents
Alexandre N. Carvalho, Jacson Simsen, and Mariza S. Simsen
………… 70Energy Analysis, Phase Plane, Initial Value Problems and the Existence of Infinitely Many Solutions to Superlinear Elliptic Problems
Alfonso Castro, Jorge Cossio, Sigifredo Herrón, and Carlos Vélez
………… 81On the Behaviour of Harmonic Functions on Riemannian Cones
Jean C. Cortissoz
………… 91Asymptotic Analysis: Entropy Numbers and Schoenberg Coefficients of Isotropic Positive Definite Reproducing Kernels
Karina Gonzalez and Thaís Jordão
………… 98Radial Solutions for Phi-Laplacian Problems via Shooting Method
Sigifredo Herrón, Emer Lopera, and Diana Sánchez
………… 106Fourier Analysis on Hypercylinders
André Pedroso Kowacs
………… 114On the Theoretical and Numerical Analysis of a Vegetation Model with Cross-Diffusion
Iván Moreno-Villamil, Diego A. Rueda-Gómez, and Élder J. Villamizar-Roa
………… 122Deligne Cohomology for Differentiable Stacks
Luis Alejandro Barbosa Torres and Frank Neumann
………… 130The Poincaré-Wirtinger Inequality in the Framework of Equalities
Tohru Ozawa and Durvudkhan Suragan
………… 139Dynamical Behaviour of Rotating Internal Weakly Viscoelastic Fluids
Obidio Rubio, Franco Rubio-López, Alexis Rodriguez, and M. Thompson
………… 144Existence and Stability of Pullback Exponential Attractors for a Nonautonomous Semilinear Evolution Equation of Second Order
Vinicius Tavares Azevedo
………… 152Second Order Differential Operators Associated to the Space of Generalized Analytic Functions
Judith Vanegas and Gian Rossodivita
………… 158
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