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Partial Differential Equations and Calculus of Variations

Stefan Hildebrandt, Rolf Leis (Herausgeber)

Buch | Softcover

VIII, 428 Seiten

1988
Springer Berlin (Verlag)
9783540505082 (ISBN)

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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.

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.

Erscheint lt. Verlag	9.11.1988
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 428 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	655 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Boundary value problem • Calculus of Variations • Catenary • Convexity • differential equation • Maximum • Maximum principle • measure • Minimum • partial differential equation • scattering theory
ISBN-13	9783540505082 / 9783540505082
Zustand	Neuware