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Analysis and Partial Differential Equations: Perspectives from Developing Countries

Imperial College London, UK, 2016

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. Julio Delgado

    1. School of Mathematical Sciences, Queen Mary University of London, London, UK

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  2. Michael Ruzhansky

    1. Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium

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    You can also search for this editor in PubMed   Google Scholar

  • Unique collection of papers in analysis from developing countries
  • Contains an assessment of the current state of mathematics in Africa
  • Topics include Fourier analysis, PDE, numerical analysis, integral equations, pseudo-differential equations, bifurcation theory

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 275)

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Table of contents (15 papers)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Analysis in Developing Countries

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Francis K. A. Allotey (Saltpond, Ghana 9 August 1932 – Accra, Ghana 2 November 2017)

      • Emmanuel K. Essel
      Pages 3-6

    3. State of Mathematics in Africa and the Way Forward

      • Francis K. A. Allotey
      Pages 7-13

    4. The Optimal Vector Control for the Elastic Oscillations Described by Fredholm Integral-Differential Equations

      • Elmira Abdyldaeva, Akylbek Kerimbekov
      Pages 14-30

    5. On Nuclear \(L^p\)-Multipliers Associated to the Harmonic Oscillator

      • Edgardo Samuel Barraza, Duván Cardona
      Pages 31-41

    6. Hermite Multipliers on Modulation Spaces

      • Divyang G. Bhimani, Rakesh Balhara, Sundaram Thangavelu
      Pages 42-64

    7. Potential Theory Results for a Class of PDOs Admitting a Global Fundamental Solution

      • Andrea Bonfiglioli
      Pages 65-83

    8. Semiclassical Analysis of Dispersion Phenomena

      • Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià
      Pages 84-108

    9. 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

    10. “Strong” Turing-Hopf Instability for Reaction-Diffusion Systems

      • Giani Egaña Fernández, J Sarría González, Mariano Rodríguez Ricard
      Pages 137-158

    11. Correspondence Between Multiscale Frame Shrinkage and High-Order Nonlinear Diffusion

      • Haihui Wang, Qi Huang, Bo Meng
      Pages 159-171

    12. Pseudo-differential Operators Associated to General Type I Locally Compact Groups

      • Marius Măntoiu, Maximiliano Sandoval
      Pages 172-190

    13. 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

    14. Shannon Sampling and Weak Weyl’s Law on Compact Riemannian Manifolds

      • Isaac Z. Pesenson
      Pages 207-218

    15. Well-posed Boundary Value Problems for New Classes of Singular Integral Equations in Cylindrical Domains

      • Nusrat Rajabov
      Pages 219-241

    16. Weighted Stepanov-Like Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations

      • Hamidou Toure, Issa Zabsonre
      Pages 242-269
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Keywords

About this book

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.

Editors and Affiliations

  • School of Mathematical Sciences, Queen Mary University of London, London, UK

    Julio Delgado

  • Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium

    Michael Ruzhansky

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