Carleman Estimates for Second Order Partial Differential Operators and Applications : A Unified Approach

• Date: 05 Jan 2020
• Publisher: Springer Nature Switzerland AG
• Original Languages: English
• Book Format: Paperback::127 pages, ePub
• ISBN10: 303029529X
• Dimension: 155x 235mm
Download Link: Carleman Estimates for Second Order Partial Differential Operators and Applications : A Unified Approach

[3] C. Bardos, R. Douady and A. Fursikov, Static Hedging of Barrier Options with a Smile: An Inverse Problem, Preprint CMLA No. 9810. École Normale Supérieure de Cachan (1998). Zbl1063.91028 [4] F. Black and M. Scholes, The Pricing of Options and Corporate Liabilities. Request PDF | Carleman Estimates for Second Order Hyperbolic Operators and Applications, a Unified Approach | In this chapter, we establish three Carleman estimates for second order hyperbolic carleman inequalities Download carleman inequalities or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get carleman inequalities book now. This site is like a library, Use search box in the widget to get ebook that you want. Explore books Qi Lu with our selection at Click and Collect from your local Waterstones or get FREE UK delivery on orders over £20. For the observation or control of solutions of second-order hyperbolic equation in $mathbbR_t imes Omega $, Ralston’s construction of localized states [Comm. Pure Appl. Math., 22 (1969), pp. Carleman Estimates for Second Order Partial Differential Operators and Applications will be of interest to all researchers in the field. 著者について. Xiaoyu Fu is Professor of Mathematics in the School of Mathematics, Sichuan University, Chengdu, China. Her main research interest is control theory of partial differential equations. Then we analyze recent extensions to other linear and semilinear parabolic systems and/or boundary controls. Finally, we review the controllability properties for the Stokes and Navier-Stokes equations that are known to date. In this context, we have paid special attention to obtaining the necessary Carleman estimates. Let L be a parabolic second order differential operator on the domain Π ¯ = 0, T × ℝ. Given a function u ^: ℝ → R and x ^ > 0 such that the support of u ^ is contained in (-∞,-x ^], we let y ^: Π ¯ → ℝ be the solution to the equation: L y = 0, y | 0 × ℝ = u ^. Old Search System: App Preview Promo Feedback (version 0.7800.1201) × Advanced Search Xiaoyu Fu, "Carleman Estimates for Second Order Partial Differential Operators and Applications: A Unified Approach " English | ISBN: 303029529X | 2019 | 127 pages | EPUB, PDF | 13 MB + 2 MB This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, and their typical applications in control, unique continuation, and inverse problems. Read "Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems" Mourad Choulli available from Rakuten Kobo. This book presents a unified approach to studying the stability of both elliptic Cauchy problems and selected inverse pr Carleman Estimates for Second Order Partial Differential Operators and Applications: A Unified Approach (SpringerBriefs in Mathematics) Amazon. Carleman Estimates for Second Order Partial Differential Operators and Applications: A Unified Approach (SpringerBriefs in Add your request in the most appropriate place below. Before adding a request please: for existing articles on the same subject. If an article exists, but not at the title you expected, you can create a redirect.; Check spelling and capitalization.; Be sure the subject meets Wikipedia's inclusion criteria.; convention, Wikipedia article titles are not capitalized except for the first letter This book presents a unified approach to studying the stability of both elliptic Cauchy problems and selected inverse problems. Based on elementary Carleman inequalities, it establishes three-ball inequalities, which are the key to deriving logarithmic stability estimates for elliptic Cauchy problems and are also useful in proving stability estimates for certain elliptic inverse problems. The Carleman Estimates for Coefficient Inverse Problems and Numerical Applications: 9783110226133: Nonlinear Second Order Elliptic Equations Involving Measures: 9783110199260: Nonlinear Spectral Theory: Nemytskij Operators, and Nonlinear Partial Differential Equations: 9783110293562: Solution Sets for Differential Equations and Inclusions: This equation is a model for a vibrating structure with a layer with higher rigidity of small thickness. means of a proper Carleman estimate for second-order elliptic operators near the boundary, we derive a resolvent estimate for the wave semigroup generator along the imaginary axis, which in turn yields the logarithmic decay rate of the Moreover, it is established that the knowledge of the limit values of these functions allows us to find angles of sectoriality of the corresponding operators related to a realizing (L) –system. The exact angle of sectoriality of the accretive main operator (T) of such a system is also found and the corresponding formulas are provided

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