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100   $a20030826d2003      uy             0
101 0 $aeng
135   $aurun#---|u||u
181   $ctxt
182   $cc
183   $acr
200 00$aThree courses on partial differential equations$b[electronic resource] /$feditor, Eric Sonnendru?cker
210   $aBerlin ;$aNew York $cWalter de Gruyter$dc2003
215   $a1 online resource (172 p.)
225 1 $aIRMA lectures in mathematics and theoretical physics ;$v4
300   $aDescription based upon print version of record.
311 0 $a3-11-916201-9 
311 0 $a3-11-017958-X 
320   $aIncludes bibliographical references.
327   $tFront matter --$tTable of Contents --$tElastic deformations of membranes and wires --$tScattering, spreading, and localization of an acoustic pulse by a random medium --$tLectures on parameter identification
330   $aModeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research. This book provides an introduction to three different topics in partial differential equations arising from applications. The subject of the first course by Michel Chipot (Zurich) is equilibrium positions of several disks rolling on a wire. In particular, existence and uniqueness of and the exact position for an equilibrium are discussed. The second course by Josselin Garnier (Toulouse) deals with problems arising from acoustics and geophysics where waves propagate in complicated media, the properties of which can only be described statistically. It turns out that if the different scales presented in the problem can be separated, there exists a deterministic result. The third course by Otared Kavian (Versailles St.-Quentin) is devoted to so-called inverse problems where one or several parameters of a partial differential equation need to be determined by using, for instance, measurements on the boundary of the domain. The question that arises naturally is what information is necessary to determine the unknown parameters. This question is answered in different settings. The text is addressed to students and researchers with a basic background in partial differential equations.
410  0$aIRMA lectures in mathematics and theoretical physics ;$v4.
606   $aDifferential equations, Partial
608   $aElectronic books.
615  0$aDifferential equations, Partial.
676   $a515/.353
686   $aSK 500$2rvk
701   $aSonnendru?cker$b Eric$01038663
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910451741303321
996   $aThree courses on partial differential equations$92460395
997   $aUNINA