Multidimensional inverse and ill-posed problems for differential equations / / Yu.E. Anikonov

• Autore: Anikonov I͡U. E (I͡Uriĭ Evgenʹevich)
• Pubblicazione: Utrecht, The Netherlands : , : VSP, , 1995
• Edizione: Reprint 2014
• Descrizione fisica: 1 online resource (140 pages)
• Disciplina: 510
• Soggetto topico: Inverse problems (Differential equations); Differential equations
• Soggetto genere / forma: Electronic books.
• Soggetto non controllato: Differential Equations; Ill-Posed Problems; Inverse Problems
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. Operator Equations and Inverse Problems -- CHAPTER 2. Inverse Problems for Kinetic Equations -- CHAPTER 3. Geometry of Convex Surfaces in the Large and Inverse Problems of Scattering Theory -- CHAPTER 4. Integral Geometry -- References
• Sommario/riassunto: Inverse problems are usually nonlinear and are separated into one-dimensional and multidimensional problems, depending on whether the sought function (or functions) is a function of one variable or of many. Multidimensionality of inverse problems has particular value at present, because practice shows that many investigating processes are described by an equation, of which the co-efficient essentially depends on many variables. This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interet to researchers in the field of applied mathematics, geophysics and mathematical biology.
• Titolo autorizzato: Multidimensional inverse and ill-posed problems for differential equations
• ISBN: 3-11-027147-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996309240203316
• Lo trovi qui: Univ. di Salerno
• Serie: Inverse and ill-posed problems series.