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Current Trends in Analysis, its Applications and Computation

Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019

  • Conference proceedings
  • © 2022

Overview

Editors:
  1. Paula Cerejeiras

    1. Department of Mathematics, University of Aveiro, Aveiro, Portugal

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  2. Michael Reissig

    1. Institut of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany

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  3. Irene Sabadini

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  4. Joachim Toft

    1. Department of Mathematics, Linnaeus University, Växjö, Sweden

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Part of the book series: Trends in Mathematics (TM)

Part of the book sub series: Research Perspectives (RESPERSP)

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Table of contents (70 papers)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Applications of Dynamical Systems Theory in Biology

    1. Front Matter

      Pages 1-1
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    2. Bifurcation Analysis of the Topp Model

      • Valery A. Gaiko, Alef E. Sterk, Henk W. Broer
      Pages 3-9

    3. Optimal Harvesting in Age- and Size-Structured Population Models

      • N. Hritonenko, M. C. A. Leite, Y. Yatsenko
      Pages 11-18

  3. Complex Analysis and Partial Differential Equations

    1. Front Matter

      Pages 19-19
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    2. Dirichlet Problem for Inhomogeneous Biharmonic Equation in Clifford Analysis

      • Ümit Aksoy, A. Okay Çelebi
      Pages 21-29

    3. A Note on the Schwarz Problem in a Ring Domain

      • A. Okay Çelebi, Pelin Ayşe Gökgöz
      Pages 31-39

    4. On Hierarchical Models of Elastic Shallow Shells with Voids

      • Bakur Gulua
      Pages 41-49

    5. Well-Posedness and Numerical Results to 3D Periodic Burgers’ Equation in Lebesgue-Gevrey Class

      • Ridha Selmi, Abdelkerim Chaabani
      Pages 51-59

    6. BVP for the First Order Elliptic Systems in the Plane

      • Nino Manjavidze, Giorgi Akhalaia
      Pages 61-66

    7. Applications of Zalcman’s Lemma in C N

      • P. V. Dovbush
      Pages 67-74

    8. To the Theory of One Class of Three-Dimensional Integral Equation with Super-Singular Kernels by Tube Domain

      • Nusrat Rajabov
      Pages 75-86

  4. Complex Geometry

    1. Front Matter

      Pages 87-87
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    2. Principal Higgs Bundles and Schottky Representations

      • Ana Casimiro, Susana Ferreira
      Pages 89-97

    3. On Hodge Polynomials of Singular Character Varieties

      • Carlos Florentino, Azizeh Nozad, Jaime Silva, Alfonso Zamora
      Pages 99-110

    4. Diagonal Double Kodaira Structures on Finite Groups

      • Francesco Polizzi
      Pages 111-128

    5. Symmetric Differentials and the Dimension of Hitchin Components for Orbi-Curves

      • Florent Schaffhauser
      Pages 129-140

  5. Complex Variables and Potential Theory

    1. Front Matter

      Pages 141-141
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    2. Extremal Decomposition of a Multidimensional Complex Space with Poles on the Boundary of a Polydisk

      • Iryna Denega
      Pages 143-151

    3. Some Properties of the Solutions Space of Irregular Elliptic Systems

      • Grigori Giorgadze, Giorgi Makatsaria
      Pages 153-161
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Keywords

About this book

This volume contains the contributions of the participants of the 12th ISAAC congress which was held at the University of Aveiro, Portugal, from July 29 to August 3, 2019. These contributions originate from the following sessions: Applications of dynamical systems theory in biology, Complex Analysis and Partial Differential Equations, Complex Geometry, Complex Variables and Potential Theory, Constructive Methods in the Theory of Composite and Porous Media, Function Spaces and Applications, Generalized Functions and Applications, Geometric & Regularity Properties of Solutions to Elliptic and Parabolic PDEs, Geometries Defined by Differential Forms, Partial Differential Equations on Curved Spacetimes, Partial Differential Equations with Nonstandard Growth, Quaternionic and Clifford Analysis, Recent Progress in Evolution Equations, Wavelet theory and its Related Topics.

Editors and Affiliations

  • Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Paula Cerejeiras

  • Institut of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany

    Michael Reissig

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  • Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

Bibliographic Information

  • Book Title: Current Trends in Analysis, its Applications and Computation

  • Book Subtitle: Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019

  • Editors: Paula Cerejeiras, Michael Reissig, Irene Sabadini, Joachim Toft

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-87502-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Softcover ISBN: 978-3-030-87501-5Published: 04 October 2022

  • eBook ISBN: 978-3-030-87502-2Published: 03 October 2022

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XIV, 699

  • Number of Illustrations: 41 b/w illustrations, 24 illustrations in colour

  • Topics: Analysis

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