The Monge-Ampère Equation and Its Applications

Released on by Alessio Figalli
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  • The Monge-Ampère Equation and Its Applications Book Detail

  • Author : Alessio Figalli
  • Release Date : 2017
  • Publisher :
  • Genre : Differential equations, Partial
  • Pages : 0
  • ISBN 13 : 9783037191705
  • File Size : 24,24 MB
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The Monge-Ampère Equation and Its Applications by Alessio Figalli PDF Summary

Book Description: The Monge-Ampere equation is one of the most important partial differential equations, appearing in many problems in analysis and geometry. This monograph is a comprehensive introduction to the existence and regularity theory of the Monge-Ampere equation and some selected applications; the main goal is to provide the reader with a wealth of results and techniques he or she can draw from to understand current research related to this beautiful equation. The presentation is essentially self-contained, with an appendix that contains precise statements of all the results used from different areas (linear algebra, convex geometry, measure theory, nonlinear analysis, and PDEs). This book is intended for graduate students and researchers interested in nonlinear PDEs: explanatory figures, detailed proofs, and heuristic arguments make this book suitable for self-study and also as a reference.

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