Partial Differential Equations and Geome
β Farina, Alberto; Figalli, Alessio; Peral, Ireneo; Valdinoci, Enrico (eds.)
π Library
π
2018
π Springer
π English
β¦ LIBER β¦
π
Partial Differential Equations and Geometric Measure Theory
β Scribed by Alessio Figalli, Ireneo Peral, Enrico Valdinoci, Alberto Farina, Enrico Valdinoci
- Publisher
- Springer International Publishing
- Year
- 2018
- Tongue
- English
- Leaves
- 224
- Series
- Lecture Notes in Mathematics 2211
- Edition
- 1st ed.
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory. It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods. The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered. The lectures, given during the course "Partial Differential Equations and Geometric Measure Theory'' in Cetraro, June 2β7, 2014, should help to encourage further research in the area. The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.
β¦ Table of Contents
Front Matter ....Pages i-ix
Global Existence for the Semigeostrophic Equations via Sobolev Estimates for Monge-Ampère (Alessio Figalli)....Pages 1-42
On Some Elliptic and Parabolic Equations Related to Growth Models (Ireneo Peral)....Pages 43-195
All Functions Are (Locally) s-Harmonic (up to a Small Error)βand Applications (Enrico Valdinoci)....Pages 197-214
Back Matter ....Pages 215-216
β¦ Subjects
Mathematics; Partial Differential Equations; Calculus of Variations and Optimal Control; Optimization; Integral Equations; Genetics and Population Dynamics; Functional Analysis; Complex Systems
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