Unique Continuation Properties for Partial Differential Equations Introduction to the Stability Estimates for Inverse Problems /

This book provides a comprehensive and self-contained introduction to the study of the Cauchy problem and unique continuation properties for partial differential equations. Aimed at graduate and advanced undergraduate students, it bridges foundational concepts such as Lebesgue measure theory, functi...

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Bibliografiske detaljer
Hovedforfatter: Vessella, Sergio (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Udgivelse:1st ed. 2025.
Serier:Birkhäuser Advanced Texts Basler Lehrbücher,
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Online adgang:https://doi.org/10.1007/978-3-031-86366-0
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Beskrivelse
Summary:This book provides a comprehensive and self-contained introduction to the study of the Cauchy problem and unique continuation properties for partial differential equations. Aimed at graduate and advanced undergraduate students, it bridges foundational concepts such as Lebesgue measure theory, functional analysis, and partial differential equations with advanced topics like stability estimates in inverse problems and quantitative unique continuation. By presenting detailed proofs and illustrative examples, the text equips readers with a deeper understanding of these fundamental topics and their applications in mathematical analysis. Designed to serve as both a learning resource and a reference, this book is particularly suited for those pursuing research in mathematical physics, inverse problems, or applied analysis.
Fysisk beskrivelse:1 online resource (XVI, 957 p. 26 illus.). 14 illus. in color.
ISBN:9783031863660
ISSN:2296-4894
DOI:10.1007/978-3-031-86366-0