Contemporary Mathematics, Volume: 658
2016; 279 pp; Softcover
MSC: Primary 03; 15; 35; 49; 65; 83;
Print ISBN: 978-1-4704-1668-3
This volume contains the proceedings of the Conference on Mathematics and its Applications 2014, held from November 14-17, 2014, at Kuwait University, Safat, Kuwait.
Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method.
Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann entropy in graph theory, the relative entropy method for hyperbolic systems, conductances on grids, inverse problems in magnetohydrodynamics, location and size estimation of small rigid bodies using elastic far-fields, and the space-time fractional Schrodinger equation, just to cite a few.
Contemporary Mathematics, Volume: 659
2016; 320 pp; Softcover
MSC: Primary 14; 20; 26; 28; 30; 31; 32; 37; 42; 46; 47; 49; 54; 90; 91; 93;
Print ISBN: 978-1-4704-1736-9
This volume contains the proceedings of the IMU/AMS Special Session on Nonlinear Analysis and Optimization, held from June 16?19, 2014, at the Second Joint International Meeting of the Israel Mathematical Union (IMU) and the American Mathematical Society (AMS), Bar-Ilan and Tel-Aviv Universities, Israel, and the Workshop on Nonlinear Analysis and Optimization, held on June 12, 2014, at the Technion-Israel Institute of Technology.
The papers in this volume cover many different topics in Nonlinear Analysis and Optimization, including: Taylor domination property for analytic functions in the complex disk, mappings with upper integral bounds for p
Mathematical Surveys and Monographs, Volume: 210
2016; 280 pp; Hardcover
MSC: Primary 11; 14; 37;
Print ISBN: 978-1-4704-2408-4
The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point x
Graduate Studies in Mathematics, Volume: 171
2016; 368 pp; Hardcover
MSC: Primary 35;
ISBN: 978-1-4704-2607-1
Nonlinear elliptic differential equations are a diverse subject with important applications to the physical and social sciences and engineering. They also arise naturally in geometry. In particular, much of the progress in the area in the twentieth century was driven by geometric applications, from the Bernstein problem to the existence of Kahler?Einstein metrics.
This book, designed as a textbook, provides a detailed discussion of the Dirichlet problems for quasilinear and fully nonlinear elliptic differential equations of the second order with an emphasis on mean curvature equations and on Monge?Ampere equations. It gives a user-friendly introduction to the theory of nonlinear elliptic equations with special attention given to basic results and the most important techniques. Rather than presenting the topics in their full generality, the book aims at providing self-contained, clear, and gelementaryh proofs for results in important special cases. This book will serve as a valuable resource for graduate students or anyone interested in this subject.
Graduate students and research mathematicians interested in nonlinear PDE and applications to differential geometry.
Contemporary Mathematics, Volume: 660
2016; 148 pp; Softcover
MSC: Primary 35; 65; 86;
Print ISBN: 978-1-4704-1923-3
This volume contains the proceedings of the Seoul ICM 2014 Satellite Conference on Imaging, Multi-scale and High-Contrast PDEs, held from August 7-9, 2014, in Daejeon, Korea.
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The mathematical analysis of partial differential equations modelling materials, or tissues, presenting multiple scales has been a very active area of research. The study of the corresponding imaging or reconstruction problem is a more recent area. If the material parameters of the partial differential equation present high contrast ratio, then the solution to the PDE becomes particularly challenging to analyze and compute. On the other hand, imaging in highly heterogeneous media poses significant challenges to the mathematical community.
The focus of this volume is on recent progress towards complete understanding of the direct problem with high contrast or high frequencies, and unified approaches to the inverse and imaging problems for both small and large contrast or frequencies. Of particular importance in imaging are shape representation techniques and regularization approaches. Special attention is devoted to new models and problems coming from physics leading to innovative imaging and signal processing methods.
Graduate students and research mathematicians interested in applied math, inverse problems, and imaging PDEs.
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Contemporary Mathematics, Volume: 661
2016; 297 pp; Softcover
MSC: Primary 11; 26; 31; 33; 35; 40; 41; 42; 60;
Print ISBN: 978-1-4704-2534-0
This volume contains the proceedings of the conference Constructive Functions 2014, held from May 26-30, 2014, at Vanderbilt University, Nashville, TN, in honor of Ed Saff's 70th birthday.
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The papers in this volume contain results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, minimal Riesz energy, random polynomials, Pade and Hermite-Pade approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer G
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Graduate students and research mathematicians interested in functional analysis.