Current Trends in Analysis, its Applications and Computation

1. Front Matter

   Pages i-xiv

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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

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.

• complex analysis
• complex geometry
• wavelet theory
• clifford analysis
• potential theory

• 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

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