Nonlinear analysis, geometry and applications : proceedings of the Second NLAGA-BIRS Symposium, Cap Skirring, Senegal, January 25-30, 2022 / / Diaraf Seck [and three others], editors

• Pubblicazione: Cham : , : Springer, , [2022]; ©2022
• Descrizione fisica: 1 online resource (525 pages)
• Disciplina: 515
• Soggetto topico: Mathematical analysis; Nonlinear functional analysis; Anàlisi funcional no lineal; Anàlisi matemàtica
• Soggetto genere / forma: Congressos; Llibres electrònics
• Persona (resp. second.): SeckDiaraf
• Nota di contenuto: Intro -- Preface -- Contents -- Stability Analysis and Uniform Persistence of the Dynamics of Cytotoxic Cells with Crowley-Martin Functional Response -- 1 Introduction -- 2 Model of Cytotoxic Cells -- 3 Dynamic Properties -- 3.1 Existence and Determination of Equilibrium Points -- 3.2 Uniform Persistence of the Disease -- 3.3 Stability Analysis of Equilibrium Points -- 4 Numerical Simulations -- 5 Conclusion and Perspectives -- Appendix -- References -- Null Controllability by Birth Control for a PopulationDynamics Model -- 1 Introduction and Mains Results -- 2 Proof of Theorem 1.1 (Step 1) -- 2.1 Proof of the Proposition 2.2 -- 2.2 Proof of the Step 1 of the Theorem 1.1 -- 3 Proof of Theorem 1.1 (Step 2) -- 4 Proof of the Theorem 1.1 (Step 3): Large Time Null Controllability -- 5 Proof of the Theorem 1.2: Non Existence of Control -- 6 Numerical Simulations -- 6.1 Discretization of the Controlled System -- 6.2 Simulations of the Controlled System and Comments -- 7 Conclusion -- References -- Aedes Vertical Transmission Logistic Growth Mathematical Model for Assessing Arboviruses Maintenance in Environment: A Positive Semigroup Approach -- 1 Introduction -- 2 Preliminaries Results of the Model -- 2.1 Semilinear Cauchy Problem of the Model -- 2.2 R0 Formula and Asymptotic Behavior of the Homogeneous Cauchy Problem -- 3 Solution and Asymptotic Behaviors of the Model -- References -- Global Dynamics of a Spore Producing Pathogens Epidemic System with Nonlocal Diffusion Process -- 1 Introduction -- 2 Main Results -- 2.1 Existence, Dissipativity, and Compactness of the Semiflow -- 2.2 Pathogen Invasion Process in Uninfected Environment and Threshold Dynamics -- 3 Numerical Simulations and Discussion -- 3.1 Description of the Model Numerical Simulation -- 3.2 Discussion -- 4 General Remarks -- 5 Proof of Theorem 2.2 -- 6 Proof of Theorem 2.4. ; 7 Proof of Theorem 2.5 -- 7.1 Proof of Theorem 2.5(i) -- 7.2 Technical Materials and Uniform Persistence -- 7.3 Proof of Theorem 2.5(ii) -- Appendix A: Proof of Claim 7.4 -- References -- Stochastic Reaction Network Modeling and Optimal Control for Covid-19 -- 1 Introduction -- 2 Modeling -- 3 Optimal Control Problem -- 3.1 Study of Stochastic Differential Equation -- 3.2 Position of the Problem -- 3.3 Dynamic Programming Principle -- 3.4 Existence and Uniqueness of the HJB Equation -- 4 Numerical Simulation -- 4.1 Numerical Scheme -- 4.2 Covid19 Case Study: SDE -- 4.3 Covid19 Case Study: The Optimal Control Problem -- 5 Discussion -- 6 Conclusion -- References -- Bayesian Selection of Adaptive Bandwidth in Non-homogeneous Poisson Process Kernel Estimators for the Intensity Function -- 1 Introduction -- 2 Bayesian Adaptive Bandwidth Selector -- 2.1 Prior Choice for hij -- 2.2 Choice for Prior Parameter -- 2.3 Posterior Distribution and the Bayes Estimators -- 3 Simulation -- 3.1 Simulations Results -- 3.2 An Application to Real Data -- 4 Conclusion -- References -- Nonnegative Matrix Factorization and Log-Determinant Divergences -- 1 Introduction -- 2 Nonnegative Matrix Factorization (NMF) and Multiplicative Algorithms -- 3 Basic Alpha-Beta Logarithm Determinant Divergence -- 4 Main Results -- 4.1 The Alpha Beta Log-Det Divergence -- 4.2 Special Cases of the AB Log-Det Divergences and Distances -- 4.3 New Measures of AB-Log-Det Divergence -- 4.4 Potentiality AB Log-Det Divergence -- 4.5 Algorithms for NMF Based on the AB-Log-Det Divergence -- 4.5.1 Algorithm Multiplicative Based on the AB-Log-Det Divergence -- 4.5.2 Conditions for Monotonic Descent of AB-Log-Det Divergence -- 5 Applications -- 5.1 Efficient Similarity for Covariance Matrices via the NMF Jensen-Bregman Log-Det Divergence. ; 5.1.1 Derivation of Multiplicative Algorithms for NMF Based on the Jensen-Bregman-Log-Det Divergence and the DR -- 5.1.2 Computational Advantages -- 5.2 Alpha-Beta-Log Det Divergence Applied to Spatial Filtering -- 5.3 Restoration of Musical Spectograms -- 6 Conclusion -- References -- Study of the Shallow Water Equations with Variable Bathymetry in a Channel with Flather Open Boundary Condition -- 1 Introduction -- 2 Model -- 2.1 Description of the Model -- 2.2 Model Equations -- 2.3 Boundary Conditions -- 2.4 Initial Conditions -- 3 Mathematical Analysis of the Model -- 3.1 Temporal Discretization of the Model -- 3.2 Mixed Variational Formulation -- 3.3 Mixed Finite Element Approximation of Velocity Field and Free Surface Elevation -- 3.3.1 Discrete Mixed Formulation -- 3.3.2 Study of the Discrete Solution -- 4 Numerical Results -- 4.1 Numerical Simulation -- 4.2 Results -- 5 Conclusion -- References -- Almost Periodic Solution for Non Autonomous Non Densely Defined Cauchy Problems -- 1 Introduction -- 2 Preliminaries -- 3 Existence of Almost Periodic Solution -- 3.1 Almost Periodic Functions -- 3.2 Almost Periodic Solutions of the Inhomgeneous Problem -- 3.3 Almost Periodic Solutions of the Semilinear Problem -- 4 Example -- References -- Homogenization of a Parabolic Equation with Random Coefficients: An Application to Sand Transport Equations -- 1 Introduction -- 1.1 Results -- 1.2 On the Stochastically Two Scale Convergence in the Mean -- 2 Existence and Estimates, Proof of Theorem 1.1 -- 3 Stochastically Two-Scale Mean Convergence -- References -- Uniqueness and Stability in an Inverse Problem for Electromagnetic Forming of a Metal Jet -- 1 Introduction -- 2 Study of the Shape Optimization Problem -- 2.1 Auxiliary Results -- 2.2 Position of the Problem -- 2.3 Existence of Solution of Shape Optimization Problem. ; 3 Optimality Condition of the Problem -- 3.1 Preliminaries -- 3.2 Derivation with Respect to the Domain -- 3.3 Results of the Optimality Condition -- 4 Uniqueness and Stability of the Solution -- 4.1 Stability on the Border of the Solution -- 4.2 Stability of the Solution -- 4.3 Uniqueness of the Solution -- 5 Identification of the Optimal Shape -- 6 Conclusion and Perspectives -- References -- Numerical and Theoretical Analysis for Optimal ShapeInverse Problems -- 1 Introduction -- 2 Shape Derivative Using the Lagrangian and Minimax Methods -- 2.1 Shape Derivative -- 3 Numerical Method Based on Polynomial Deformation -- 3.1 Numerical Illustrations by Translation -- 3.1.1 Description of the Proposed Algorithm -- 3.1.2 Numerical Illustrations -- 3.2 Numerical Illustrations by Parabolic Deformation -- 3.2.1 Description of the Proposed Algorithm -- 3.2.2 Numerical Illustrations -- 4 Numerical Method by a General Geometric Deformation with a Shape Optimisation Problem -- 4.1 Shape Derivative Using the Vector Field Method -- 4.2 The Augmented Lagrangian Algorithm for Equality-Constrained Problems -- 4.3 Regularization of the Shape Gradient -- 4.4 Some Illustrations: Initial Domains -- 4.5 Description of the Proposed Algorithm -- 4.6 Numerical Illustrations -- References -- Algorithms for Nonlinear Integral Equations of Hammerstein Type with Phi-monotone Mappings in Certain Banach Spaces -- 1 Introduction -- 2 Preliminaries -- 3 Convergence in lp, Lp and Wm,p-spaces, 1< -- p≤2 -- 4 Convergence in lp, Lp and Wm,p-Spaces, 2≤p< -- ∞ -- References -- A Riemannian Point of View for a Quadrature Surface Free Boundary Problem -- 1 Introduction -- 2 Position of the Problem and Main Results -- 3 Geometric Tools and Preliminary Results -- 4 Proofs of the Main Results -- References -- A Study of Sharp Coefficient Bounds for a New Subfamily of Starlike Functions. ; 1 Introduction, Definitions and Preliminaries -- 2 A Set of Lemmas -- 3 Coefficient Inequalities for the Function Class Stanh -- 4 The Third Hankel Determinant -- 5 Concluding Remarks and Observations -- References -- Resolution of ∂ for Differential Forms with Boundary Value in the Sense of Currents Defined on a Half Space of Cn -- 1 Introduction -- 2 Preliminaries -- 3 Resolution of d for the Differential Forms with Boundary Value in the Sense of Currents -- 4 Resolution of ∂ for Differential Forms with Boundary Value in the Sense of Currents -- References -- Certain Contributions to the -Problem -- 1 Introduction -- 2 Solving with a Support Condition -- 2.1 Lp-Scale -- 2.2 Lp-Theory for on CPn -- 2.3 Ck-Setting -- 2.4 Applications -- 2.4.1 Lp-Extension Theorem -- 2.4.2 Holomorphic Approximation -- 3 Regularity with Gain for -- 3.1 Raising Steps Methods -- 3.2 Lp-Lr-Estimates -- 3.3 Lp-Regularity for on Products -- 4 The b-Problem -- 4.1 L2-Estimates for b -- 4.2 Hölder and Lp-Sobolev Estimates for b -- 5 Open Problems -- References -- Self-intersection on Pair of Pants -- 1 Introduction -- 2 Coding Closed Geodesics -- 2.1 Coding of the Limit Set -- 2.2 Representation of Geodesics -- 3 Self-intersection of Closed Geodesic -- 3.1 Cyclically Lexicographical Ordering -- 3.2 Self-intersection and Coding -- 3.3 Calculation of the Number of Self-intersections of a Closed Geodesic -- 4 Proof of Theorems 1.1 and 1.2 -- 5 Proof of Theorem 1.3 -- References -- On the Closure of Irregular Orbits of the Horocyclic Flow -- 1 Introduction -- 2 Preliminaries -- 2.1 Horocyclic Convergence -- 2.2 Asymptotic Fineness -- 3 Proof of the Theorem 1.2 -- References -- Central Extensions and Hom-Quadratic Hom-NovikovColor Algebras -- 1 Introduction -- 2 Preliminaries -- 3 Generalities on Hom-Novikov Color Algebras -- 4 Constructions of Hom-Novikov Color Algebras. ; 4.1 From Linear Map, Morphism and Centroid.
• Titolo autorizzato: Nonlinear Analysis, Geometry and Applications
• ISBN: 3-031-04616-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910616368603321
• Lo trovi qui: Univ. Federico II
• Serie: Trends in Mathematics