Partial Differential Equations and Calculus of Variations / edited by Stefan Hildebrandt, Rolf Leis.

Format:

Book

Contributor:

Hildebrandt, Stefan, editor.

Leis, Rolf, editor.

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1357.

Lecture Notes in Mathematics, 0075-8434 ; 1357

Language:

English

Subjects (All):

Global analysis (Mathematics).

Analysis.

Local Subjects:

Analysis.

Physical Description:

1 online resource (VIII, 428 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.

System Details:

text file PDF

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.

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.

Other Format:

Printed edition:

ISBN:

9783540460244

Access Restriction:

Restricted for use by site license.