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Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
Hardcover
Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /, Book 34
ISBN13: 9783540740124
Publisher: Springer
Published: Jun 13 2008
Pages: 302
Weight: 1.25
Height: 0.90 Width: 6.10 Depth: 9.20
Language: English
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.
1 different editions
Also available
Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
Struwe, Michael
Paperback
Also from
Struwe, Michael
Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
Struwe, Michael
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