9783031542411 - integro-differential elliptic equations: 350 (progress in mathematics, 350) de fernández-real, xavier; ros-oton, xavier (15 resultados)
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Hardcover. Condición: new. Hardcover. This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. This class of equations finds relevance in fields such as analysis, probability theory, mathematical physics, and in several context…s in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a primary focus on the main ideas rather than on proving all the results in their greatest generality.The basic building blocks are presented first, with the study of the square root of the Laplacian, and weak solutions to linear equations. Subsequently, the theory of viscosity solutions to nonlinear equations is developed, and proofs are provided for the main known results in this context. The analysis finishes with the investigation of obstacle problems for integro-differential operators and establishes the regularity of solutions and free boundaries.A distinctive feature of this work lies in its presentation of nearly all covered material in a monographic format for the first time, and several proofs streamline, and often simplify, those in the original papers. Furthermore, various open problems are listed throughout the chapters. This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Idioma: Inglés
Editorial: Springer, Berlin|Springer Nature Switzerland|Agència de Gestió d'Ajuts Universitaris i de Recerca|European Research Council|Schweizerischer Nationalfonds zur Förderung der wissenschaftlichen Forschung|Staatssekretariat für Bildung, Forschung und Innovati, 2024
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21stcentury. This class of equations finds relevance in fields such as analysis, probability theory, mathemat…ical physics, and in several contexts in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a primary focus on the main ideas rather than on proving all the results in their greatest generality.The basic building blocks are presented first, with the study of the square root of the Laplacian, and weak solutions to linear equations. Subsequently, the theory of viscosity solutions to nonlinear equations is developed, and proofs are provided for the main known results in this context. The analysis finishes with the investigation of obstacle problems for integro-differential operators and establishes the regularity of solutions and free boundaries.A distinctive feature of this work lies in its presentation of nearly all covered material in a monographic format for the first time, and several proofs streamline, and often simplify, those in the original papers. Furthermore, various open problems are listed throughout the chapters.
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Hardcover. Condición: new. Hardcover. This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. This class of equations finds relevance in fields such as analysis, probability theory, mathematical physics, and in several context…s in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a primary focus on the main ideas rather than on proving all the results in their greatest generality.The basic building blocks are presented first, with the study of the square root of the Laplacian, and weak solutions to linear equations. Subsequently, the theory of viscosity solutions to nonlinear equations is developed, and proofs are provided for the main known results in this context. The analysis finishes with the investigation of obstacle problems for integro-differential operators and establishes the regularity of solutions and free boundaries.A distinctive feature of this work lies in its presentation of nearly all covered material in a monographic format for the first time, and several proofs streamline, and often simplify, those in the original papers. Furthermore, various open problems are listed throughout the chapters. This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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Idioma: Inglés
Editorial: Springer, Berlin, Springer Nature Switzerland, Agència De Gestió D'ajuts Universitaris I De Recerca, European Research Council, Schweizerischer Nationalfonds Zur Förderung Der Wissenschaftlichen Forschung, Staatssekretariat Für Bildung, Forschung Und Innovation, Agencia Estatal De Investigación, Birkhäuser, 2024
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21stcentury. This class of equations finds relevance in fields such as analysis, probability…theory, mathematical physics, and in several contexts in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a primary focus on the main ideas rather than on proving all the results in their greatest generality.The basic building blocks are presented first, with the study of the square root of the Laplacian, and weak solutions to linear equations. Subsequently, the theory of viscosity solutions to nonlinear equations is developed, and proofs are provided for the main known results in this context. The analysis finishes with the investigation of obstacle problems for integro-differential operators and establishes the regularity of solutions and free boundaries.A distinctive feature of this work lies in its presentation of nearly all covered material in a monographic format for the first time, and several proofs streamline, and often simplify, those in the original papers. Furthermore, various open problems are listed throughout the chapters. 395 pp. Englisch.
Idioma: Inglés
Editorial: Birkhäuser, Springer International Publishing Apr 2024, 2024
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Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. This class of equations finds relevance in fields such as analysis, probability the…ory, mathematical physics, and in several contexts in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a primary focus on the main ideas rather than on proving all the results in their greatest generality.The basic building blocks are presented first, with the study of the square root of the Laplacian, and weak solutions to linear equations. Subsequently, the theory of viscosity solutions to nonlinear equations is developed, and proofs are provided for the main known results in this context. The analysis finishes with the investigation of obstacle problems for integro-differential operators and establishes the regularity of solutions and free boundaries.A distinctive feature of this work lies in its presentation of nearly all covered material in a monographic format for the first time, and several proofs streamline, and often simplify, those in the original papers. Furthermore, various open problems are listed throughout the chapters.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 412 pp. Englisch.
