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  • 1
    Online Resource
    Online Resource
    Regularity theory for elliptic PDE / (2022)
    Berlin :EMS Press,
    Details
    UID:
    almahu_BV048631040
    Format: 1 Online-Ressource (viii, 228 Seiten) : , Diagramme.
    ISBN: 978-3-98547-528-5
    Series Statement: Zurich lectures in advanced mathematics
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-98547-028-0
    Language: English
    Subjects: Mathematics
    RVK:
    SK 560
    DOI: 10.4171/zlam/28
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: lizenzpflichtig
    URL: lizenzpflichtig
    URL: Volltext  (URL des Erstveröffentlichers)
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    FU Berlin
    UB Potsdam
    TU Berlin
  • 2
    Online Resource
    Online Resource
    Integro-Differential Elliptic Equations (2024)
    Cham : Springer Nature Switzerland | Cham : Birkhäuser
    Details
    UID:
    b3kat_BV049673505
    Format: 1 Online-Ressource (XVI, 395 p. 22 illus., 2 illus. in color)
    Edition: 1st ed. 2024
    ISBN: 9783031542428
    Series Statement: Progress in Mathematics 350
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-54241-1
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-54243-5
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-54244-2
    Language: English
    DOI: 10.1007/978-3-031-54242-8
    URL: Volltext  (URL des Erstveröffentlichers)
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    HTW Berlin
    BTU Cottbus
  • 3
    Book
    Book
    Regularity theory for elliptic PDE / (2022)
    Berlin :EMS Press,
    Details
    UID:
    almahu_BV048989853
    Format: viii, 228 Seiten : , Illustrationen, Diagramme.
    ISBN: 978-3-98547-028-0
    Series Statement: Zurich lectures in advanced mathematics
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-98547-528-5
    Language: English
    Subjects: Mathematics
    RVK:
    SK 560
    URL: https://d-nb.info/1277470731/04
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  • 4
    Online Resource
    Online Resource
    Integro-Differential Elliptic Equations / (2024)
    Cham :Birkhäuser,
    Details
    UID:
    edoccha_9961492920702883
    Format: 1 online resource (XVI, 395 p. 22 illus., 2 illus. in color.)
    Edition: First edition.
    ISBN: 3-031-54242-8
    Series Statement: Progress in Mathematics Series ; Volume 350
    Content: 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 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.
    Note: The square root of the Laplacian -- Linear integro-differential equations -- Fully nonlinear equations -- Obstacle problems.
    Additional Edition: ISBN 3-031-54241-X
    Language: English
    DOI: 10.1007/978-3-031-54242-8
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  • 5
    Online Resource
    Online Resource
    Integro-differential elliptic equations (2024)
    Cham : Birkhäuser
    Details
    UID:
    gbv_1887416188
    Format: 1 Online-Ressource (XVI, 395 Seiten)
    ISBN: 9783031542428
    Series Statement: Progress in mathematics volume 350
    Content: 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 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.
    Note: The square root of the Laplacian -- Linear integro-differential equations -- Fully nonlinear equations -- Obstacle problems.
    Additional Edition: ISBN 9783031542411
    Additional Edition: ISBN 9783031542435
    Additional Edition: ISBN 9783031542442
    Additional Edition: Erscheint auch als Druck-Ausgabe Fernández-Real, Xavier, 1992 - Integro-differential elliptic equations Cham, Switzerland : Birkhäuser, 2024 ISBN 9783031542411
    Language: English
    DOI: 10.1007/978-3-031-54242-8
    URL: lizenzpflichtig
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    UB Potsdam
  • 6
    Online Resource
    Online Resource
    Regularity theory for elliptic PDE / (2022)
    EMS Press
    Details
    UID:
    almafu_9961673618902883
    ISBN: 3-9854752-8-8
    Content: One of the most basic mathematical questions in PDE is that of regualrity. A classical example is HIlbert's XIXth problem, stated in 1900, which was solved by De Giorgi and Nash in the 1950s. The question of regularity has been a central line of research in elliptic PDE during the second half of the 20th century and has influenced many areas of mathematics linked one way or another with PDE. This text aims to provide a self-contained introduction to the regularity theory for elliptic PDE, focusing on the main ideas rather than proving all results in their greatest generality. It can be seen as a bridge between an elementary PDE course and more advanced books. The book starts with a short review of the Laplace operator and harmonic functions. The theory of Schauder estimates is developed next, but presented with various proofs of the results. Nonlinear elliptic PDE are covered in the following, both in the variational and non-variational setting and, finally, the obstacle problem is studied in detail, establishing the regularity of solutions and free boundaries. (---from back cover of book)
    Note: Overview and preliminaries -- Linear elliptic PDE -- Nonlinear variational PDE and Hilbert's XIXth problem -- Fully nonlinear elliptic PDE -- The obstacle problem -- A. Some properties of Hölder spaces -- B. Proof of the boundary Harnack inequality -- C. Probabilistic interpretation of fully nonlinear equations -- D. Motivations and applications for the obstacle problem -- Notation.
    Additional Edition: ISBN 3-9854702-8-6
    Language: English
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    FU Berlin
  • 7
    Online Resource
    Online Resource
    Integro-Differential Elliptic Equations / (2024)
    Cham :Springer Nature Switzerland :
    Details
    UID:
    almafu_9961492920702883
    Format: 1 online resource (XVI, 395 p. 22 illus., 2 illus. in color.)
    Edition: 1st ed. 2024.
    ISBN: 3-031-54242-8
    Series Statement: Progress in Mathematics, 350
    Content: 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 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.
    Note: The square root of the Laplacian -- Linear integro-differential equations -- Fully nonlinear equations -- Obstacle problems.
    Additional Edition: ISBN 3-031-54241-X
    Language: English
    DOI: 10.1007/978-3-031-54242-8
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Open Access Request
    Charité
  • 8
    Online Resource
    Online Resource
    Integro-Differential Elliptic Equations (2024)
    Cham :Springer Nature Switzerland :
    Details
    UID:
    almahu_9949723943202882
    Format: XVI, 395 p. 22 illus., 2 illus. in color. , online resource.
    Edition: 1st ed. 2024.
    ISBN: 9783031542428
    Series Statement: Progress in Mathematics, 350
    Content: 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 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.
    Note: The square root of the Laplacian -- Linear integro-differential equations -- Fully nonlinear equations -- Obstacle problems.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9783031542411
    Additional Edition: Printed edition: ISBN 9783031542435
    Additional Edition: Printed edition: ISBN 9783031542442
    Language: English
    DOI: 10.1007/978-3-031-54242-8
    URL: https://doi.org/10.1007/978-3-031-54242-8
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    HU Berlin
  • 9
    Book
    Book
    Integro-differential elliptic equations / (2024)
    Cham :Birkhäuser,
    Details
    UID:
    almahu_BV049695723
    Format: xvi, 395 Seiten : , Illustrationen, Diagramme (teilweise farbig).
    ISBN: 978-3-031-54241-1
    Series Statement: Progress in Mathematics Volume 350
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-031-54242-8
    Language: English
    Subjects: Mathematics
    RVK:
    SK 640
    Library Location Call Number Volume/Issue/Year Availability
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    HU Berlin get availability status
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