Piero D'Ancona

from Wikipedia, the free encyclopedia

Piero D'Ancona is an Italian mathematician who studies partial differential equations.

D'Ancona studied mathematics at the University of Pisa with a Laureate degree and at the Scuola Normale Superiore in Pisa, where he received his doctorate in 1987 under Sergio Spagnolo ( nonlinear hyperbolic equations ). In 1989 he became an assistant professor at the University of Rome II (Tor Vergata) and in 1992 at the University of Pisa. In 1994 he became professor at the University of L'Aquila and in 1997 at the University of Rome I (La Sapienza).

He was visiting scholar in Paris, at the Courant Institute at New York University, at Imperial College London and in Japan.

He deals with local and global existence statements for hyperbolic equations and systems, degenerate hyperbolic equations, analytical and Gevrey regularity of the solutions of partial differential equations, elliptic partial integro-differential equations of the Kirchhoff type, nonlinear parabolic partial differential equations, nonlinear wave equations and geometrical wave equations, estimates the decay of solutions, scattering of the nonlinear Schrödinger equation with variable coefficients, regularity of the Navier-Stokes equation and harmonic analysis.

In 2006 he received the first Premio Gaetano Fichera from the Unione Matematica Italiana .

Fonts

  • with S. Spagnolo: A class of nonlinear hyperbolic problems with global solutions, Archive for rational mechanics and analysis, Volume 124, 1993, pp. 201-219
  • with S. Spagnolo: Global solvability for the degenerate Kirchhoff equation with real analytic data, Inventiones Mathematicae, Volume 108, 1992, pp. 247-262
  • with S. Spagnolo: Kirchhoff type equations depending on a small parameter, m Chinese Annals of Mathematics Series B, Volume 16, 1995, pp. 413-430
  • with S. Spagnolo: Nonlinear perturbations of the Kirchhoff equation, Comm. Pure Applied Math., Vol. 47, 1994, pp. 1005-1029
  • with Vittoria Pierfelice: On the wave equation with a large rough potential, Journal of Functional Analysis, Volume 227, 2005, pp. 30-77
  • with L. Fanelli: Strichartz and smoothing estimates for dispersive equations with magnetic potentials, Communications in Partial Differential Equations, Volume 33, 2008, pp. 1082–1112
  • with L. Fanelli: boundedness of the wave operator for the one dimensional Schrödinger operator, Communications in Mathematical Physics, Volume 268, 2006, pp. 415-438
  • with L. Fanelli: Decay estimates for the wave and Dirac equations with a magnetic potential, Communications on pure and applied mathematics, Volume 60, 2007, pp. 357-392
  • with L. Fanelli, N. Visciglia, L. Vega: Endpoint Strichartz estimates for the magnetic Schrödinger equation, Journal of Functional Analysis, Volume 258, 2010, pp. 3227-3240
  • with D. Foschi, S. Selberg: Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system, Journal of the European Mathematical Society, Volume 9, 2007, pp. 877-899
  • with D. Foschi, S. Selberg: Null structure and almost optimal local well-posedness of the Maxwell-Dirac system, American Journal of Mathematics, Volume 132, 2010, pp. 771-839
  • with V. Georgiev, H. Kubo: Weighted decay estimates for the wave equation, Journal of Differential Equations, Volume 177, 2001, pp. 146-208

Web links

Individual evidence

  1. ↑ Piero D'Ancona in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME D'Ancona, Piero
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH 20th century