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Fractional Diffusion and Wave Equations : Well-posedness and Inverse Problems / by Yong Zhou

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Cham : Springer Nature Switzerland, 2024Publisher: Cham : Imprint: Springer, 2024Edition: 1st ed. 2024Description: 1 Online-Ressource(XIII, 344 p.)ISBN:
  • 9783031740312
Subject(s): Additional physical formats: 9783031740305 | 9783031740329 | 9783031740336 | Erscheint auch als: 9783031740305 Druck-Ausgabe | Erscheint auch als: 9783031740329 Druck-Ausgabe | Erscheint auch als: 9783031740336 Druck-Ausgabe | Erscheint auch als: Fractional diffusion and wave equations. Druck-Ausgabe Cham : Springer Nature Switzerland, 2024. xiii, 344 SeitenDDC classification:
  • 515.45 23
DOI: DOI: 10.1007/978-3-031-74031-2Online resources: Summary: Preface -- Introduction -- Preliminaries -- Well-posedness of Fractional Diffusion Equations -- Inverse Problems of Fractional Diffusion Equations -- Well-posedness and Regularity of Fractional Wave Equations -- Inverse Problems of Fractional Wave Equations -- References -- Index.Summary: This monograph delves into the theory of time-fractional diffusion and wave equations, presenting a comprehensive exploration of recent advancements in the field. Key topics include well-posedness, regularity, and approximate controllability of Cauchy problems, as well as the existence and regularity of terminal value problems. Detailed examples illustrate the applications of these equations, demonstrating their practical relevance. The content is rooted in research conducted by the author and other experts over the past five years, offering a thorough foundation for further study. This work is an invaluable resource for researchers, graduate students, and PhD candidates in the fields of differential equations, applied analysis, and related areas.PPN: PPN: 1908295961Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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