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Accueil > Publications > Lectures in Mathematics & Theoretical Physics > Volume 04 : Three Courses on Partial Differential Equations
Volume 04 : Three Courses on Partial Differential Equations
Editor : Eric Sonnendrücker
2003. 17 x 24 cm. VIII, 162 pages.
Paperback € 36,95 [D] / sFr 59,-
USA, Canada, Mexico : $36.95
ISBN 3-11-017958-X
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 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 deals with problems arising from acoustics and geophysics wherewaves
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 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.
Contents :
Michel Chipot : Elastic deformations of membranes and wires Josselin Garnier : Scattering, spreading, and localization of an acoustic pulse by a random
medium Otared Kavian : Lectures on parameter identification
Distributor : de Gruyter.
Access to detailed information and order form on de Gruyter website
Dernière mise à jour le 23-03-2020
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