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.

Provides several extended abstracts of the ICMAM 2023-2024 Latin America activities Includes selected contributions by Latin American mathematicians in analysis and PDEs Offers diverse perspectives of mathematics in Latin America

Autorentext

Duvan Cardona Sanchez is a Colombian mathematician and FWO fellow at Ghent University, Belgium. He was awarded the prestigious FWO Fellowship by the Belgian Research Foundation FWO to be an associate researcher at Ghent University in 2023. In 2024, he joined the board of ISAAC, the International Society for Analysis, its Applications, and Computation, becoming the youngest mathematician ever elected to the board of directors in ISAAC's history. Since 2022, he has held the position of Scientific Director of ICMAM Latin America. He has been a reviewer for Colombia's Ministry of Education, Science, and Technology since 2020. With around 100 publications, including several books, in Harmonic Analysis and PDEs, his contributions are extensive. He has received the 2025 President's Award of the International Society for Analysis, its Applications and Computation (ISAAC). Recently, he has joined the Commission on Applied and Industrial Mathematics (CMAI) of the Colombian Mathematical Society for the period 2025-2027. Together with Brian Grajales and Karina Navarro Gonzalez (Weizmann Institute of Science, Israel) he is part of the Executive Committee of ICMAM Latin America.

Brian Grajales is a Colombian mathematician and Professor of Mathematics at the Universidade Estadual de Maringá in Brazil. His research interests span Differential Geometry and Lie Theory, with a particular emphasis on Riemannian Geometry on homogeneous spaces. As an active member of several research groups, including those at the State University of Campinas, the University of Pamplona, and the ICMAM Latin America, Brian Grajales has made significant contributions to the field. His work has been published in numerous high-impact journals, and he has been a frequent participant in international conferences and seminars, where he has shared his insights with the broader mathematical community. Between 2022 and 2024, he served as the president of ICMAM Latin America, and since 2025, in view of his leadership and contributions to this organisation he was elected Vice President of ICMAM Latin America for the period 2025-2027. Together with Duván Cardona and Karina Navarro Gonzalez (Weizmann Institute of Science, Israel) he is part of the Executive Committee of ICMAM Latin America.

Inhalt

Lawson cones and the Allen-Cahn equation.- On decay of solutions to nonlinear dispersive equations.- Stabilisation of the linear Turing model.- Sectorial Pseudodifferential operators in L1(Rn) and BUC(Rn).- Blow up of solutions for pseudo-parabolic equation with m-sub Laplacian operators.- Instability of Equilibrium Solutions for a Logarithmic Heat Equa tion in Banach Algebras.- Analysis of Decay Rates for n-Widths and Covering Numbers on the Complex Sphere.- Boundedness of pseudo-differential operators on the torus via kernel estimates.- Mathematics and Memory: a seminar of analysis and differential equations for Latin America.- Hilbert spaces of nonabsolutely integrable functions.- Etc...