TEACHING



PUBLICATIONS AND PREPRINTS

  1. Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential
    J. Differential Equations, vol. 219, no. 2, 259-305 (2005).
  2. On the asymptotic behavior of nonlinear waves in the presence of a short-range potential
    Manuscripta Math., vol. 119, no. 3, 323-345 (2006).
    Joint with: Kimitoshi Tsutaya.
  3. Small-data scattering for nonlinear waves of critical decay in two space dimensions
    Differential Integral Equations, vol. 19, no. 6, 601-626 (2006).
    Joint with: Kimitoshi Tsutaya.
  4. Small-data scattering for nonlinear waves with potential and initial data of critical decay
    Discrete Contin. Dynam. Systems, vol. 16, no. 1, 87-106 (2006).
  5. Instability of steady states for nonlinear wave and heat equations
    J. Differential Equations, vol. 241, no. 1, 184-205 (2007).
    Joint with: Walter A. Strauss.
  6. Sharp bounds on 2m/r for static spherical objects
    Classical Quantum Gravity, vol. 25, no. 19, 195021 (2008).
    Joint with: John G. Stalker.
  7. Stability and intersection properties of solutions to the nonlinear biharmonic equation
    Nonlinearity, vol. 22, no. 7, 1653-1661 (2009).
  8. Supercritical biharmonic equations with power-type nonlinearity
    Ann. Mat. Pura Appl., vol. 188, no. 1, 171-185 (2009).
    Joint with: Alberto Ferrero and Hans-Christoph Grunau.
  9. Weighted decay estimates for the wave equation with radially symmetric data
    Submitted.


CONTACT INFORMATION

Address: School of Mathematics, Trinity College, Dublin 2, IRELAND
Office: Hamilton Building, Room 20.32c
Phone: 353-1-896-3946
Fax: 353-1-896-2282
E-mail: pete (followed by @maths.tcd.ie)