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Contemporary Research in Elliptic PDEs and Related Topics

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概要 This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whos...e development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully nonlinear equations, nonlinear parabolic equations, overdetermined boundary value problems, maximum principles, geometric analysis, control theory, mean field games, and bio-mathematics. The authors are trailblazers in these topics and present their work in a way that is exhaustive and clearly accessible to PhD students and early career researcher. As such, the book offers an excellent introduction to a variety of fundamental topics of contemporary investigation and inspires novel and high-quality research.続きを見る
目次 1 N. Abatangelo and E. Valdinoci, Getting acquained with the Fractional Laplacian
2 I. Birindelli et al., Dirichlet problems for fully nonlinear equations with "subquadratic" Hamiltonians
3 S. Borghini and L. Mazzieri, Monotonicity formulas for static metrics with non-zero cosmological constant
4 U. Boscain and M. Sigalotti, Introduction to controllability of nonlinear systems
5 A. Cesaroni and M. Cirant, Introduction to variational methods for viscous ergodic Mean-Field Games with local coupling
6 E. Cinti, Flatness Results for Nonlocal Phase Transitions
7 M. Cozzi, Fractional De Giorgi classes and applications to nonlocal regularity theory
8. F. G. Düzgün et al., Harnack and pointwise estimates for degenerate or singular parabolic equations
9 C. Mantegazza et al., Lectures on curvature ow of networks
10 L. Mari and L. F. Pessoa, Maximum principles at infinity and the Ahlfors-Khas'minskii duality: an overview
11 C. Mooney, Singularities in the Calculus of Variations
12 A. Tellini, Comparison among several planar Fisher-KPP road-field systems.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2019 English/International

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登録日 2020.06.27
更新日 2020.06.28