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Series series Mathematics and Statistics (R0)
This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations.Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier ... Leer más

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This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations.Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier
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Abstract Cauchy Problems

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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems involved in numerous mathematical models in physics, engineering, and finance can be approached in a variety of ways. The authors structured these approaches, identifying three main strategies for dealing with ill‑posed problems: semigroup methods, abstract distribution methods, and regularization
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Series series Mathematics and Statistics (R0)
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This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass’ theorems obtained by
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The real-variable theory of function spaces has always been at the core of harmonic analysis. In particular, the real-variable theory of the Hardy space is a fundamental tool of harmonic analysis, with applications and connections to complex analysis, partial differential equations, and functional analysis.This book is devoted to exploring properties of generalized Herz spaces and establishing a
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Approximation of Euclidean Metric by Digital Distances

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Series series Computer Science (R0)
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Series series Mathematics and Statistics (R0)
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This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit of ideas and tricks used to study the explicit continuous nowhere differentiable functions of Weierstrass, Takagi–van der
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Series series Mathematics and Statistics (R0)
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Series series Mathematics and Statistics (R0)
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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

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Series series Mathematics and Statistics (R0)
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Arbeitstagung Bonn 2013

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Series series Mathematics and Statistics (R0)
This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that ... Leer más

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Series series Springer Nature Proceedings excluding Computer Science
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 2018. Organized into 13 chapters, the book discusses the latest trends in various fields of theoretical and applied fractional calculus. Besides an essential mathematical interest, its overall goal is a ... Leer más

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Series series Dover Books on Mathematics
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Edición de Julio Delgado, Michael Ruzhansky ...

Series series Springer Nature Proceedings excluding Computer Science
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Series series Mathematics and Statistics (R0)
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Series series Mathematics and Statistics (R0)
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This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed
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This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel's Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Regular
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Variational Views in Mechanics

Edición de Paolo Maria Mariano ...

Series series Mathematics and Statistics (R0)
This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on “Calculus of Variations in Mechanics and Related Fields”. The variety of topics covered offers ... Leer más

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Linear Response Theory

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Series series Physics and Astronomy (R0)
This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new and robust tool to implement LRT for a wide array of systems. The proposed formalism in fact applies to periodic and random systems ... Leer más

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This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new and robust tool to implement LRT for a wide array of systems. The proposed formalism in fact applies to periodic and random systems
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Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

de Mourad Bellassoued, Masahiro Yamamoto ...

Series series Mathematics and Statistics (R0)
This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann maps and can often prove the global uniqueness and Lipschitz stability even with a single measurement. ... Leer más

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This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann maps and can often prove the global uniqueness and Lipschitz stability even with a single measurement.
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Louis Boutet de Monvel, Selected Works

Edición de Victor W. Guillemin, Johannes Sjöstrand ...

Series series Mathematics and Statistics (R0)
This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis. The works selected here reveal his central role in the development of his field, including three cornerstones: firstly, analytic pseudodifferential operators, which have become a fundamental aspect of analytic microlocal analysis, and ... Leer más

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This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis. The works selected here reveal his central role in the development of his field, including three cornerstones: firstly, analytic pseudodifferential operators, which have become a fundamental aspect of analytic microlocal analysis, and
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eBooks de Análisis funcional

Tools and Problems in Partial Differential Equations

Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations

Abstract Cauchy Problems

Topics in Uniform Approximation of Continuous Functions

Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko

Approximation of Euclidean Metric by Digital Distances

Continuous Nowhere Differentiable Functions

From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

Spectral Theory and Applications of Linear Operators and Block Operator Matrices

Fuzzy Differential Equations in Various Approaches

Dynamic Inequalities On Time Scales

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Arbeitstagung Bonn 2013

Fractional Calculus

Elementary Theory of Analytic Functions of One or Several Complex Variables

Analysis and Partial Differential Equations: Perspectives from Developing Countries

Introduction to Stochastic Analysis

Choquet Integral and Monotone Sublinear Operators

Topology and Approximate Fixed Points

Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory

Variational Views in Mechanics

Linear Response Theory

Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

Louis Boutet de Monvel, Selected Works