Paperback
Format: Paperback / softback, 699 pages, height x width: 235x155 mm, weight: 1080 g, 1 Illustrations, black and white; XIV, 699 p. 1 illus.
Series: Trends in Mathematics
Pub. Date: 04-Oct-2022
ISBN-13: 9783030875015
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.
Foreword.- Contributions on: 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.
Hardback
Format: Hardback, 525 pages, height x width: 235x155 mm, weight: 963 g, 49 Tables, color; 48 Illustrations, color;
IX, 525 p. 52 illus., 48 illus. in color.; 49 Tables, color; 48 Illustrations, color; 4 Illustrations, black and white; IX, 525 p. 52 illus., 48 illus. in color.,
Series: Trends in Mathematics
Pub. Date: 09-Oct-2022
ISBN-13: 9783031046155
This book gathers twenty-two papers presented at the second NLAGA-BIRS Symposium, which was held at Cap Skirring and at the Assane Seck University in Ziguinchor, Senegal, on January 25-30, 2022. The five-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometric analysis, geometric structures, dynamics, optimization, inverse problems, complex analysis, algebra, algebraic geometry, control theory, stochastic approximations, and modelling.
Stability Analysis and Uniform Persistence of the Dynamics of Cytotoxic Cells with Crowley-Martin Functional Response. - Null Controllability by Birth Control for a Population Dynamics Model. - Aedes Vertical Transmission Logistic Growth Mathematical Model for Assessing Arboviruses Maintenance in Environment: A Positive Semigroup Approach. - Global Dynamics of a Spore Producing Pathogens Epidemic System with Nonlocal Diffusion Process. - Stochastic Reaction Network Modeling and Optimal Control for Covid-19. - Bayesian Selection of Adaptive Bandwidth in Non-homogeneous Poisson Process Kernel Estimators for the Intensity Function. - Nonnegative Matrix Factorization and Log-Determinant Divergences. - Study of the Shallow Water Equations with Variable Bathymetry in a Channel with Flather Open Boundary Condition. - Almost Periodic Solution for Non Autonomous Non Densely Defined Cauchy Problems. - Homogenization of a Parabolic Equation with Random Coefficients: An Application to Sand Transport Equations. - Uniqueness and Stability in an Inverse Problem for Electromagnetic Forming of a Metal Jet. - Numerical and Theoretical Analysis for Optimal Shape Inverse Problems. - Algorithms for Nonlinear Integral Equations of Hammerstein Type with Phi-monotone Mappings in Certain Banach Spaces. - A Riemannian Point of View for a Quadrature Surface Free Boundary Problem. - A Study of Sharp Coefficient Bounds for a New Subfamily of Starlike Functions. - Resolution of - for Differential Forms with Boundary Value in the Sense of Currents Defined on a Half Space of Cn. - Certain Contributions to the - -Problem. - Self-intersection on Pair of Pants. - On the Closure of Irregular Orbits of the Horocyclic Flow. - Central Extensions and Hom-Quadratic Hom-Novikov Color Algebras. - On the Topology of the Intersection Curve of Two Real Parameterized Algebraic Surfaces. - Algebraic Points of Any Degree on the Affine Curve y2 = x(x2 + 1)(x2 + 3).
Format: Hardback, 378 pages, height x width: 235x155 mm, weight: 752 g, 1 Illustrations, color;
6 Illustrations, black and white; XIII, 378 p. 7 illus., 1 illus. in color.,
Series: Springer Proceedings in Mathematics & Statistics 390
Pub. Date: 06-Oct-2022
ISBN-13: 9783031061691
This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021. The works cover recent developments in quantum probability and infinite dimensional analysis, with a special focus on applications to mathematical physics and quantum information theory. Covered topics include white noise theory, quantum field theory, quantum Markov processes, free probability, interacting Fock spaces, and more.
By emphasizing the interconnection and interdependence of such research topics and their real-life applications, this reputed conference has set itself as a distinguished forum to communicate and discuss new findings in truly relevant aspects of theoretical and applied mathematics, notably in the field of mathematical physics, as well as an event of choice for the promotion of mathematical applications that address the most relevant problems found in industry. That makes this volume a suitable reading not only for researchers and graduate students with an interest in the field but for practitioners as well.
PART I: Quantum Probability Methods.- The non-linear and quadratic quantization programs(Accardi et al.).- A pedagogical note on the computation of relative entropy of two n-mode gaussian states(Parthasarathy).- Quantum operators of the semicircle distributions(Popa et al.).- Quantum Probability for Modeling Cognition, Decision Making, and Artificial Intelligence(Khrennikov).- PART II: Quantum Information Methods.- Note on Complexity of Communication Processes (Watanabe).- Trace decreasing quantum dynamical maps: Divisibility and entanglement dynamics(Filippov).- Compound state, its conditionality and quantum mutual information(Matsuoka).- Block Markov Chains on Trees(Souissi).- PART III: Quantum Dynamical Systems.- Hilbert von Neumann Modules versus Concrete von Neumann Modules(Skeide).- Absorption and fixed points for semigroups of quantum channels(Girotti).- Characterization of Gaussian Quantum Markov Semigroups(Poletti).- A Mean-field Laser Quantum Master Equation(Fagnola et al.).- Unique ergodicity and weakly monotone Fock space(Crismale).- Part IV: Infinite Dimensional Analysis.- Solutions of infinite dimensional partial differential equations(Draouil et al.).- On Some Properties of Solution Sets of Discontinuous Quantum Stochastic Differential Inclusions(Dikko).-Fractional operators from vanishing Morrey to vanishing Campanato spaces in the variable exponent setting on quasi-metric measure spaces(Rafeiro et al.).- Part V: Operator Algebras.- Characterization of certain traces on von Neumann algebras(Bikchentaev).- Actions of -Morphisms on Certain Projections of C -Matrix Algebras(Shaheen).- Part VI: Stochastic Operators.- Compatible Linear Lypunov Function for Infinite Dimensional Volterra Quadratic Stochastic Operators(Embong).- Bijectivity of a Class of Lotka-Volterra Operators Defined on 2D-Simplex(Hee Pah et al.).- Dynamics of stochastic Cesaro operators(Khakimov et al.).- The dynamics of a Volterra cubic operator(Jamilov et al.).- The dynamics of superposition of non-Volterra quadratic stochasticoperators S2(Jamilov et al.).- A quadratic worm propagation model(Khudoyberdiev).
Format: Paperback / softback, 136 pages, height x width: 235x155 mm, 5 Illustrations, black and white; VIII, 136 p. 5 illus
Series: SpringerBriefs in Mathematics
Pub. Date: 12-Jan-2023
ISBN-13: 9783031218552
This brief research monograph uses modern mathematical methods to investigate partial differential equations with nonlinear convolution terms, enabling readers to understand the concept of a solution and its asymptotic behavior. In their full generality, these inequalities display a non-local structure. Classical methods, such as maximum principle or sub- and super-solution methods, do not apply to this context. This work discusses partial differential inequalities (instead of differential equations) for which there is no variational setting. This current work brings forward other methods that prove to be useful in understanding the concept of a solution and its asymptotic behavior related to partial differential inequalities with nonlinear convolution terms. It promotes and illustrates the use of a priori estimates, Harnack inequalities, and integral representation of solutions. One of the first monographs on this rapidly expanding field, the present work appeals to graduate and postgraduate students as well as to researchers in the field of partial differential equations and nonlinear analysis.
Chapter
1. Preliminary Facts.
Chapter
2. Quasilinear Elliptic Inequalities with Convolution Terms.
Chapter
3. Singular and Bounded Solutions for Quasilinear Inequalities.
Chapter
4. Polyharmonic Inequalities with Convolution Terms.
Chapter
5. Quasilinear Parabolic Inequalities with Convolution Terms.
Chapter
6. Higher Order Evolution Inequalities with Convolution Terms.
- Appendix A. Some Properties of Superharmonic Functions.
- Appendix B. Harnack Inequalities for Quasilinear Elliptic Operators.- Bibliography.- Index.
Format: Hardback, 65 pages, height x width: 240x168 mm, 1 Illustrations, color;
1 Illustrations, black and white; VII, 65 p. 2 illus., 1 illus. in color.,
Series: Synthesis Lectures on Operations Research and Applications
Pub. Date: 25-Jan-2023
ISBN-13: 9783031187155
This book presents state-of-the-art research and practice in optimization routing, specifically the vehicle routing problem (VRP). Since its introduction in the late 1950s, the VRP has been a very significant area of research and practice in operations research. Vehicles are used to make deliveries and for pick-ups every day and everywhere. Companies such as Amazon, UPS, FedEx, and DHL use route optimization to reduce mileage, fuel use, number of trucks on the road, and carbon dioxide emissions. The authors compile and analyze 135 survey and review articles on vehicle routing topics published between 2005 and 2022 in an effort to make key observations about publication and trend history, summarize the overall contributions in the field, and identify trends in VRP research and practice. The authors have compiled published research on models, algorithms, and applications for specific areas, including: alternative and multiple objectives; arc routing and general routing; drones, last-mile delivery, and urban distribution; dynamic and stochastic routing; green routing; inventory routing; loading constraints; location-routing; multiple depots; pickup and delivery and dial-a-ride problems; rich and multi-attribute routing; routing over time; shipping; two-echelon, collaborative, and inter-terminal problems; specific variants, benchmark datasets, and software; and exact algorithms and heuristics. In addition, the book discusses how vehicle routing problems are among the most widely studied problems in combinatorial optimization due to the mathematical complexity and practical significance.
Introduction.- Overall Contributions of Survey Articles.- Observations and Trends.- Conclusions.- References.