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Unique continuation properties for partial differential equations : introduction to the stability estimates for inverse problems / Sergio Vessella



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Autore: Vessella, Sergio Visualizza persona
Titolo: Unique continuation properties for partial differential equations : introduction to the stability estimates for inverse problems / Sergio Vessella Visualizza cluster
Pubblicazione: Cham, : Birkhäuser, 2025
Descrizione fisica: 1 testo elettronico (XVI, 957 p. : ill.)
Soggetto topico: 35-XX - Partial differential equations [MSC 2020]
35A10 - Cauchy-Kovalevskaya theorems [MSC 2020]
35B60 - Continuation and prolongation of solutions to PDEs [MSC 2020]
35J25 - Boundary value problems for second-order elliptic equations [MSC 2020]
35R30 - Inverse problems for PDEs [MSC 2020]
Soggetto non controllato: Ill-posed problems
Inverse problems
Partial differential equations
Quantitative Estimates of Unique Continuation
Stability estimates
Unique Continuation Properties
Sommario/riassunto: 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. (Dal sito dell'editore)
Titolo autorizzato: Unique Continuation Properties for Partial Differential Equations  Visualizza cluster
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: VAN00309403
Lo trovi qui: Univ. Vanvitelli
Localizzazioni e accesso elettronico https://doi.org/10.1007/978-3-031-86366-0
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Serie: Birkhäuser advanced texts Basel [etc.] . -Birkhäuser , 1982-