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

Sergio Vessella

ISBN 10: 3031863682 / ISBN 13: 9783031863684

Verlag: Birkhäuser, 2026

Unique Continuation Properties for Partial Differential Equations | Introduction to the Stability Estimates for Inverse Problems | Sergio Vessella | Taschenbuch | Birkhäuser Advanced Texts Basler Lehrbücher | xvi | Englisch | 2026 | Birkhäuser | EAN 9783031863684 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 135426678

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor:

Sergio Vessella was born on August 20 1955. He graduated from Pisa University in 1978. He held a CNR grant (1979--1982) and served as a CNR Researcher (1982--1988). He became Associate Professor in 1988 and in 2001 he was promoted Full Professor. His research focuses on Inverse Problems (IP) for Partial Differetial Equations (PDEs) and Quantitative Estimates of Unique Continuation for PDEs. He co-authored Abel Integral Equations with Prof. R. Gorenflo (Springer LNM, 1991). His work spans IP for Elliptic, Parabolic, and Hyperbolic equation, size estimates in inclusion problems, Lipschitz dependence of coefficients, and Strong Unique Continuation Properties for PDEs.  Prof. Vessella has collaborated with leading mathematicians, including Profs. G. Alessandrini, M. De Hoop, and L. Escauriaza. He has served as visiting professor in Berlin, Linz, Rutgers, and others insitutions.  He has organized symposia (e.g., IFIP-2005, Turin) and courses (e.g., Firenze, 2006) and has been an invited speaker at international conferences (e.g., Oberwolfach, Potsdam, IPMS-Malta 2024).

Bibliografische Details

Titel: Unique Continuation Properties for Partial ...
Verlag: Birkhäuser
Erscheinungsdatum: 2026
Einband: Taschenbuch
Zustand: Neu