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Publisher’s description: 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 whose 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Abatangelo, Nicola; Valdinoci, Enrico, Getting acquainted with the fractional Laplacian, 1-105 [Zbl 1432.35216]
Birindelli, Isabeau; Demengel, Françoise; Leoni, Fabiana, Dirichlet problems for fully nonlinear equations with “subquadratic” Hamiltonians, 107-127 [Zbl 1433.35125]
Borghini, Stefano; Mazzieri, Lorenzo, Monotonicity formulas for static metrics with non-zero cosmological constant, 129-202 [Zbl 1444.35013]
Boscain, Ugo; Sigalotti, Mario, Introduction to controllability of nonlinear systems, 203-219 [Zbl 1457.34001]
Cesaroni, Annalisa; Cirant, Marco, Introduction to variational methods for viscous ergodic mean-field games with local coupling, 221-246 [Zbl 1427.35287]
Cinti, Eleonora, Flatness results for nonlocal phase transitions, 247-275 [Zbl 1425.53007]
Cozzi, Matteo, Fractional De Giorgi classes and applications to nonlocal regularity theory, 277-299 [Zbl 1425.35209]
Düzgün, Fatma Gamze; Mosconi, Sunra; Vespri, Vincenzo, Harnack and pointwise estimates for degenerate or singular parabolic equations, 301-368 [Zbl 1448.35004]
Mantegazza, Carlo; Novaga, Matteo; Pluda, Alessandra, Lectures on curvature flow of networks, 369-417 [Zbl 1425.35204]
Mari, Luciano; Pessoa, Leandro F., Maximum principles at infinity and the Ahlfors-Khas’minskii duality: an overview, 419-455 [Zbl 1477.35049]
Mooney, Connor, Singularities in the calculus of variations, 457-480 [Zbl 1430.35043]
Tellini, Andrea, Comparison among several planar Fisher-KPP road-field systems, 481-500 [Zbl 1425.35103]