Elliptic Systems of Phase Transition Type
This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes - non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 De Giorgi conjecture for the scalar problem was settled in a series of papers: Ghoussoub and Gui (2d), Ambrosio and Cabré (3d), Savin (up to 8d), and del Pino, Kowalczyk and Wei (counterexample for 9d and above). This book extends, in various ways, th…
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Produktdetails
Weitere Autoren: Smyrnelis, Panayotis / Alikakos, Nicholas D.
- ISBN: 978-3-319-90572-3
- EAN: 9783319905723
- Produktnummer: 29794873
- Verlag: Birkhäuser
- Sprache: Englisch
- Erscheinungsjahr: 2019
- Plattform: PDF
- Masse: 6'713 KB
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