Analysis

Complex Analytic Cycles I

Jón Magnússon / Daniel Barlet

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Complex Analytic Cycles I

Jón Magnússon / Daniel Barlet

The book consists of a presentation from scratch of cycle space methodology in complex geometry. Applications in various contexts are given. A significant portion of the book is devoted ...

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Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees

Jouni Parkkonen / Frédéric Paulin / Anne Broise-Alamichel

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Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees

Jouni Parkkonen / Frédéric Paulin / Anne Broise-Alamichel

This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial ...

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New Trends in One-Dimensional Dynamics

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New Trends in One-Dimensional Dynamics

This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in Nov...

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The Large Flux Problem to the Navier-Stokes Equations

Wojciech M. Zajaczkowski / Joanna Renclawowicz

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The Large Flux Problem to the Navier-Stokes Equations

Wojciech M. Zajaczkowski / Joanna Renclawowicz

This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without an...

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Singularities of Solutions to Chemotaxis Systems

Piotr Biler

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Singularities of Solutions to Chemotaxis Systems

Piotr Biler

The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing concentration phenomena in physics and biology. While the two-dimensional theory is by now quite complete, the q...

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Geometric Methods in Physics XXXVII

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Geometric Methods in Physics XXXVII

The book consists of articles based on the XXXVII  Bia?owie?a Workshop on Geometric Methods in Physics, 2018. The series of Bia?owie?a workshops, attended by a community of experts at the cro...

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Fractional Calculus

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Fractional Calculus

This book collects papers presented at the International Conference on Fractional Differentiation and its Applications (ICFDA), held at the University of Jordan, Amman, Jordan, on 16–18 July 201...

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Frontiers in Functional Equations and Analytic Inequalities

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Frontiers in Functional Equations and Analytic Inequalities

This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, inclu...

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Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

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Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

This volume contains lectures and invited papers from the Focus Program on "Nonlinear Dispersive Partial Differential Equations and Inverse Scattering" held at the Fields Institute from Ju...

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Differential and Integral Inequalities

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Differential and Integral Inequalities

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.  Fundamental and recent deve...

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An Elastic Model for Volcanology

Andrea Aspri

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An Elastic Model for Volcanology

Andrea Aspri

This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers i...

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Phase Transition Dynamics

Tian Ma / Shouhong Wang

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Phase Transition Dynamics

Tian Ma / Shouhong Wang

This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. Th...

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Splitting Algorithms, Modern Operator Theory, and Applications

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Splitting Algorithms, Modern Operator Theory, and Applications

This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms. The discussion also focuses o...

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Inverse Acoustic and Electromagnetic Scattering Theory

David Colton / Rainer Kress

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Inverse Acoustic and Electromagnetic Scattering Theory

David Colton / Rainer Kress

The inverse scattering problem is central to many areas of science and technology such as radar, sonar, medical imaging, geophysical exploration and nondestructive testing. This book is ...

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Atomicity through Fractal Measure Theory

Maricel Agop / Ioan Merches / Alina Gavrilut

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Atomicity through Fractal Measure Theory

Maricel Agop / Ioan Merches / Alina Gavrilut

This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory.  Applications to quantum physics and, more gen...

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Carleman Estimates for Second Order Partial Differential Operators and Applications

Xu Zhang / Qi Lü / Xiaoyu Fu

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Carleman Estimates for Second Order Partial Differential Operators and Applications

Xu Zhang / Qi Lü / Xiaoyu Fu

This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, a...

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Nonlinear Equations for Beams and Degenerate Plates with Piers

Filippo Gazzola / Maurizio Garrione

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Nonlinear Equations for Beams and Degenerate Plates with Piers

Filippo Gazzola / Maurizio Garrione

This book develops a full theory for hinged beams and degenerate plates with multiple intermediate piers with the final purpose of understanding the stability of suspension bridges. New model...

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Ulam Type Stability

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Ulam Type Stability

This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania). It presents up-to-...

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An Introduction to the Kolmogorov-Bernoulli Equivalence

Gabriel Ponce / Régis Varão

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An Introduction to the Kolmogorov-Bernoulli Equivalence

Gabriel Ponce / Régis Varão

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov–Bernoulli (non)equivalence problem, and presents recent results in this...

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Topics in Clifford Analysis

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Topics in Clifford Analysis

Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysi...

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