Variational Methods Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
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Form:Einzelkauf Download
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Sprache:Englisch
Fr. 187.90
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Produktdetails
Format
Kopierschutz
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Erscheinungsdatum
05.11.2008
Verlag
SpringerSeitenzahl
302 (Printausgabe)
Dateigröße
4118 KB
Auflage
4th ed. 2008
Sprache
Englisch
EAN
9783540740131
Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Radó. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field.
The fourth edition gives a survey on new developments in the field. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Also the recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. Aside from these more significant additions, a number of smaller changes throughout the text have been made and the references have been updated.
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