Three Courses on Partial Differential Equations / / ed. by Eric Sonnendrücker.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
• MitwirkendeR: Chipot, Michel,; Garnier, Josselin,; Kavian, Otared,
• HerausgeberIn: Sonnendrücker, Eric,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2008]; ©2003
• Year of Publication: 2008
• Language: English
• Series: IRMA Lectures in Mathematics and Theoretical Physics ; 4
• Physical Description: 1 online resource (162 p.)
• Other title: Frontmatter --; Table of Contents --; Elastic deformations of membranes and wires --; Scattering, spreading, and localization of an --; acoustic pulse by a random medium --; Lectures on parameter identification
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110200072; 9783110637205; 9783110212129; 9783110212136; 9783110209082
• DOI: 10.1515/9783110200072
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: ed. by Eric Sonnendrücker.

Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research. This book provides an introduction to three different topics in partial differential equations arising from applications. The subject of the first course by Michel Chipot (Zurich) is equilibrium positions of several disks rolling on a wire. In particular, existence and uniqueness of and the exact position for an equilibrium are discussed. The second course by Josselin Garnier (Toulouse) deals with problems arising from acoustics and geophysics where waves propagate in complicated media, the properties of which can only be described statistically. It turns out that if the different scales presented in the problem can be separated, there exists a deterministic result. The third course by Otared Kavian (Versailles St.-Quentin) is devoted to so-called inverse problems where one or several parameters of a partial differential equation need to be determined by using, for instance, measurements on the boundary of the domain. The question that arises naturally is what information is necessary to determine the unknown parameters. This question is answered in different settings. The text is addressed to students and researchers with a basic background in partial differential equations.