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  • Operator Methods for Boundary Value Problems

    Collections Livre 404 - London Mathematical Society Lecture Note Series
    Presented in this volume are a number of new results concerning the extension theory and spectral theory of unbounded operators using the recent notions of boundary triplets and boundary relations. This approach relies on linear single-valued and multi-valued maps, isometric in a Krein space sense, and offers a basic framework for recent developments in system theory. Central to the theory are ... En savoir plus

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    Extending the Classical Calculus

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    Collections series Mathematics and Statistics (R0)
    “Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a ... En savoir plus

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  • Inverse Acoustic and Electromagnetic Scattering Theory

    Collections series Mathematics and Statistics (R0)
    The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and ... En savoir plus

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  • From Particle Systems to Partial Differential Equations

    Particle Systems and PDEs, Braga, Portugal, December 2012

    Collections series Springer Nature Proceedings excluding Computer Science
    This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th to the 7th of December, 2012.The purpose of the conference was to bring together world leaders to discuss their topics of expertise and to present some of their latest ... En savoir plus

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  • The Analysis and Geometry of Hardy's Inequality

    Collections series Mathematics and Statistics (R0)
    This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics.Hardy inequalities on domains have a substantial role and this necessitates a detailed ... En savoir plus

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  • Variational Methods in Nonlinear Field Equations

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    The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In ... En savoir plus

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  • Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations

    Collections Livre 145 - Encyclopedia of Mathematics and its Applications
    This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral ... En savoir plus

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  • Advances in Computer Algebra

    In Honour of Sergei Abramov's' 70th Birthday, WWCA 2016, Waterloo, Ontario, Canada

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    This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held ... En savoir plus

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  • Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

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    This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial ... En savoir plus

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  • Spectral Theory and its Applications

    par Bernard Helffer ...
    Collections Livre 139 - Cambridge Studies in Advanced Mathematics
    Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's ... En savoir plus

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  • Studies in Phase Space Analysis with Applications to PDEs

    Collections series Mathematics and Statistics (R0)
    This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of ... En savoir plus

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  • Vector-Valued Partial Differential Equations and Applications

    Cetraro, Italy 2013

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    Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini. It contains the following contributions: The pullback equation (Bernard Dacorogna), The stability of the isoperimetric inequality (Nicola ... En savoir plus

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