By Luigi Ambrosio (auth.), Antonio Bove, Daniele Del Santo, M.K. Venkatesha Murthy (eds.)

This choice of unique articles and surveys addresses the hot advances in linear and nonlinear points of the speculation of partial differential equations.

Key subject matters include:

* Operators as "sums of squares" of genuine and intricate vector fields: either analytic hypoellipticity and regularity for extraordinarily low regularity coefficients;

* Nonlinear evolution equations: Navier–Stokes approach, Strichartz estimates for the wave equation, instability and the Zakharov equation and eikonals;

* neighborhood solvability: its reference to subellipticity, neighborhood solvability for platforms of vector fields in Gevrey classes;

* Hyperbolic equations: the Cauchy challenge and a number of features, either optimistic and damaging results.

Graduate scholars at numerous degrees in addition to researchers in PDEs and comparable fields will locate this a good resource.

List of contributors:

L. Ambrosio N. Lerner

H. Bahouri X. Lu

S. Berhanu J. Metcalfe

J.-M. Bony T. Nishitani

N. Dencker V. Petkov

S. Ervedoza J. Rauch

I. Gallagher M. Reissig

J. Hounie L. Stoyanov

E. Jannelli D. S. Tartakoff

K. Kajitani D. Tataru

A. Kurganov F. Treves

G. Zampieri

E. Zuazua

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