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Partial Differential Equations and Calculus of Variations Stefan Hildebrandt

Partial Differential Equations and Calculus of Variations By Stefan Hildebrandt

Partial Differential Equations and Calculus of Variations by Stefan Hildebrandt


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Summary

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.

Partial Differential Equations and Calculus of Variations Summary

Partial Differential Equations and Calculus of Variations by Stefan Hildebrandt

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.

Table of Contents

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.

Additional information

NLS9783540505082
9783540505082
B0075MD4O0
Partial Differential Equations and Calculus of Variations by Stefan Hildebrandt
New
Paperback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
1988-11-09
428
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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