Partial Differential Equations and Calculus of Variations: 1357 - Brossura

 
9783540505082: Partial Differential Equations and Calculus of Variations: 1357
Brossura
ISBN 10: 3540505083 ISBN 13: 9783540505082
Casa editrice: Springer Berlin Heidelberg, 2008

Sinossi

This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.

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Contenuti

On the existence in the large of solutions to the one-dimensional, isentropic hydrodynamic equations in a bounded domain.- Initial-boundary value and scattering problems in mathematical physics.- On shape optimization of a turbine blade.- Free boundary problems for the Navier-Stokes equations.- A geometric maximum principle, plateau’s problem for surfaces of prescribed mean curvature, and the two dimensional analogue of the catenary.- Finite Elements for the Beltrami operator on arbitrary surfaces.- Comparison principles in capillarity.- Remarks on diagonal elliptic systems.- Quasiconvexity, growth conditions and partial regularity.- The monotonicity formula in geometric measure theory, and an application to a partially free boundary problem.- Isoperimetric problems having continua of solutions.- Harmonic maps — Analytic theory and geometric significance.- Asymptotic behavior of solutions of some quasilinear elliptic systems in exterior domains.- Decomposition theorems and their application to non-linear electro- and magneto-static boundary value problems.- Initial boundary value problems in thermoelasticity.- Applications of variational methods to problems in the geometry of surfaces.- Open problems in the degree theory for disc minimal surfaces spanning a curve in ?3.- On a modified version of the free geodetic boundary-value problem.

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Editore
Springer Berlin Heidelberg
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
3540505083
ISBN 13 
9783540505082
Rilegatura
Copertina flessibile
Numero di pagine
436
Redattore
Hildebrandt Stefan
Contatto del produttore
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