Analysis and Partial Differential Equations: Perspectives from Developing Countries: Imperial College London, UK, 2016

Description

This volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries. Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudo-differential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China. Suitable for postgraduate students and beyond, this volume offers the reader a broader, global perspective of contemporary research in analysis. Front Matter ....Pages i-xii Front Matter ....Pages 1-1 Francis K. A. Allotey (Saltpond, Ghana 9 August 1932 – Accra, Ghana 2 November 2017) (Emmanuel K. Essel)....Pages 3-6 State of Mathematics in Africa and the Way Forward (Francis K. A. Allotey)....Pages 7-13 The Optimal Vector Control for the Elastic Oscillations Described by Fredholm Integral-Differential Equations (Elmira Abdyldaeva, Akylbek Kerimbekov)....Pages 14-30 On Nuclear \(L^p\)-Multipliers Associated to the Harmonic Oscillator (Edgardo Samuel Barraza, Duván Cardona)....Pages 31-41 Hermite Multipliers on Modulation Spaces (Divyang G. Bhimani, Rakesh Balhara, Sundaram Thangavelu)....Pages 42-64 Potential Theory Results for a Class of PDOs Admitting a Global Fundamental Solution (Andrea Bonfiglioli)....Pages 65-83 Semiclassical Analysis of Dispersion Phenomena (Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià)....Pages 84-108 Convergence of Fourier-Walsh Double Series in Weighted \(L_{\mu }^{p}[0,1)^{2}\) (Martin G. Grigoryan, Tigran M. Grigoryan, L. S. Simonyan)....Pages 109-136 “Strong” Turing-Hopf Instability for Reaction-Diffusion Systems (Giani Egaña Fernández, J Sarría González, Mariano Rodríguez Ricard)....Pages 137-158 Correspondence Between Multiscale Frame Shrinkage and High-Order Nonlinear Diffusion (Haihui Wang, Qi Huang, Bo Meng)....Pages 159-171 Pseudo-differential Operators Associated to General Type I Locally Compact Groups (Marius Măntoiu, Maximiliano Sandoval)....Pages 172-190 Existence and Numerical Computation of Standing Wave Solutions for a System of Two Coupled Schrödinger Equations (Juan Carlos Muñoz Grajales, Luisa Fernanda Vargas)....Pages 191-206 Shannon Sampling and Weak Weyl’s Law on Compact Riemannian Manifolds (Isaac Z. Pesenson)....Pages 207-218 Well-posed Boundary Value Problems for New Classes of Singular Integral Equations in Cylindrical Domains (Nusrat Rajabov)....Pages 219-241 Weighted Stepanov-Like Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations (Hamidou Toure, Issa Zabsonre)....Pages 242-269