| Description |
1 online resource (xiv, 699 pages) : illustrations (some color) |
| Series |
Trends in mathematics. Research perspectives |
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Trends in mathematics. Research perspectives
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| Contents |
Intro -- Preface -- Contents -- Part I Applications of Dynamical Systems Theory in Biology -- Bifurcation Analysis of the Topp Model -- 1 Introduction -- 2 Analysis of the 3-Dimensional Topp Model -- References -- Optimal Harvesting in Age- and Size-Structured Population Models -- 1 Introduction -- 2 Age- and Size-Dependent Population Models -- 3 Harvesting Control -- 4 Optimization in Age-, Size-Structured Models -- 4.1 Optimization in Age-Structured Models -- 4.2 Optimization in Size-Structured Models -- References -- Part II Complex Analysis and Partial Differential Equations |
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Dirichlet Problem for Inhomogeneous Biharmonic Equation in Clifford Analysis -- 1 Introduction -- 2 Integral Representations in Complex Clifford Algebra -- 2.1 Dirac Equation -- 2.2 Poisson Equation -- 2.3 Second-Order Poisson Equation -- 3 Dirichlet Problem -- References -- A Note on the Schwarz Problem in a Ring Domain -- 1 Introduction -- 2 Preliminaries -- 3 Schwarz Problem for Inhomogeneous Cauchy-Riemann Equations -- 4 Schwarz Problem for Generalized Beltrami Equations in a Ring Domain -- 4.1 The Operators TR and R -- 4.2 Solution of a Generalized Beltrami Equation -- References |
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On Hierarchical Models of Elastic Shallow Shells with Voids -- 1 Introduction -- 2 Basic Three-Dimensional Relations -- 3 Construction of Hierarchical Models for Elastic Shallow Shells with Voids -- 4 The N=0 Approximation for the Plate -- References -- Well-Posedness and Numerical Results to 3D Periodic Burgers' Equation in Lebesgue-Gevrey Class -- 1 Introduction -- 2 Well-Posedness Result -- 3 Numerical Result -- References -- BVP for the First Order Elliptic Systems in the Plane -- References -- Applications of Zalcman's Lemma in CN -- 1 Introduction -- 2 Marty's Criterion |
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3 Non-normal Families -- 4 Montel's Theorem in CN -- 5 Criterion of Normality -- References -- To the Theory of One Class of Three-Dimensional Integral Equation with Super-Singular Kernels by Tube Domain -- 1 Integral Representations of a Variety of Solutions -- 2 Inversion Formula -- References -- Part III Complex Geometry -- Principal Higgs Bundles and Schottky Representations -- 1 Introduction -- 2 Schottky Representations -- 3 Principal Higgs Bundles and Branes -- 4 Schottky Representations and Branes -- References -- On Hodge Polynomials of Singular Character Varieties -- 1 Introduction |
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2 Preliminaries on Hodge-Deligne Polynomials, Affine GIT and Character Varieties -- 3 The Free Abelian Case -- 4 Generating Functions for E-Polynomials -- 5 The Free Group Case -- References -- Diagonal Double Kodaira Structures on Finite Groups -- 1 Introduction -- 2 Diagonal Double Kodaira Structures -- 3 The Case of Extra-Special p-Groups -- 4 Geometric Interpretation: From Diagonal Double Kodaira Structures to Diagonal Double Kodaira Fibrations -- References -- Symmetric Differentials and the Dimension of Hitchin Components for Orbi-Curves |
| Summary |
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 |
| Notes |
Conference proceedings |
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Online resource; title from PDF title page (SpringerLink, viewed October 14, 2022) |
| Subject |
Mathematical analysis -- Congresses
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Análisis matemático -- Congresos
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Mathematical analysis
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Cerejeiras, Paula, editor
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Reissig, Michael, editor.
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Sabadini, Irene, 1965- editor.
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Toft, Joachim, editor.
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Universidade de Aveiro, host institution.
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| ISBN |
9783030875022 |
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3030875024 |
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