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Calculus of Variations and Partial Differential Equations : Topics on Geometrical Evolution Problems and Degree Theory - Luigi Ambrosio

Calculus of Variations and Partial Differential Equations

Topics on Geometrical Evolution Problems and Degree Theory


Published: 24th January 2000
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At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to PDEs respectively. This self-contained presentation accessible to PhD students bridged the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and neatly illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.

"Fazit: Dies ist kein typischer Proccedingsband, sondern stellt - insbesondere wegen der Lecture Notes von Dancer und vor allem wegen der von Ambrosio - ... eine wichtige Bereicherung der anspruchsvollen Forschungsliteratur auf den Gebieten Variationsrechnung und partielle Differentialgleichungen dar. Es ist erfreulich, dass hier allerneueste Forschungsergebnisse so schnell Eingang - abgesehen von Zeitschriften - in die Literatur gefunden haben. Fur Interessierte eine lohnenswerte Anschaffung!"
Jahresbericht der DMV, 104. Band, Heft 2, August 2002

Geometric evolution problems, distance function and viscosity solutions
Veriational models for phase transitions, an approach via T-convergence
Some aspects of De Giorgi's barriers for geometric evolutions
Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth
Free discontinuity problems and their non-local approximation
Degree theory on convex sets and applications to bifurcation
Nonlinear elliptic equations involving critical Sobolev exponents
On the existence and multiplicity of positive solutions semilinear mixed and Neumann elliptic problems
Solitons and Relativistic Dynamics
An algebraic approache to nonstandard analysis
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540648031
ISBN-10: 3540648038
Series: Universitext
Audience: General
Format: Paperback
Language: English
Number Of Pages: 348
Published: 24th January 2000
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.57 x 15.65  x 1.8
Weight (kg): 0.46