Teaching

• MAU11201
• MAU11204
• Linear algebra I
• Linear algebra II

• Metric spaces
• MAU22E01
• MAU23205
• PDE 2010
• PDE 2016

Publications

1. Quasilinear elliptic inequalities with nonlinear convolution terms and potentials of slow decay
   Differential and Integral Equations, vol. 36, no. 1-2, 1-20 (2023).
   Joint with: Daniel Devine and Marius Ghergu.
2. Quasilinear elliptic inequalities with Hardy potential and nonlocal terms
   Proceedings of the Royal Society of Edinburgh Section A, vol. 151, no. 3, 1075-1093 (2021).
   Joint with: Marius Ghergu and Gurpreet Singh.
3. Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms
   Journal of Differential Equations, vol. 268, no. 10, 6033-6066 (2020).
   Joint with: Marius Ghergu and Gurpreet Singh.
4. On the asymptotic behavior of solutions of the wave equation of Hartree type
   International Journal of Differential Equations and Applications, vol. 16, no. 1, 11-44 (2017).
   Joint with: Kimitoshi Tsutaya.
5. Refined blow-up results for nonlinear fourth order differential equations
   Communications on Pure and Applied Analysis, vol. 14, no. 2, 677-693 (2015).
   Joint with: Filippo Gazzola.
6. A lower bound for the amplitude of traveling waves of suspension bridges
   Nonlinear Analysis, vol. 75, no. 13, 5212-5214 (2012).
   Joint with: John G. Stalker.
7. Asymptotic expansion of radial solutions for supercritical biharmonic equations
   Nonlinear Differential Equations and Applications, vol. 19, no. 4, 401-415 (2012).
8. Dispersion relation for water waves with non-constant vorticity
   European Journal of Mechanics B/Fluids, vol. 34, 7-12 (2012).
9. Qualitative behavior of global solutions to some nonlinear fourth order differential equations
   Journal of Differential Equations, vol. 251, no. 10, 2696-2727 (2011).
   Joint with: Elvise Berchio, Alberto Ferrero and Filippo Gazzola.
10. The existence of ground states for fourth-order wave equations
    Nonlinear Analysis, vol. 73, no. 2, 367-373 (2010).
    Joint with: P. Joseph McKenna.
11. Stability and intersection properties of solutions to the nonlinear biharmonic equation
    Nonlinearity, vol. 22, no. 7, 1653-1661 (2009).
12. Supercritical biharmonic equations with power-type nonlinearity
    Annali di Matematica Pura ed Applicata, vol. 188, no. 1, 171-185 (2009).
    Joint with: Alberto Ferrero and Hans-Christoph Grunau.
13. Sharp bounds on 2m/r for static spherical objects
    Classical and Quantum Gravity, vol. 25, no. 19, 195021 (2008).
    Joint with: John G. Stalker.
14. Instability of steady states for nonlinear wave and heat equations
    Journal of Differential Equations, vol. 241, no. 1, 184-205 (2007).
    Joint with: Walter A. Strauss.
15. On the asymptotic behavior of nonlinear waves in the presence of a short-range potential
    Manuscripta Mathematica, vol. 119, no. 3, 323-345 (2006).
    Joint with: Kimitoshi Tsutaya.
16. Small-data scattering for nonlinear waves of critical decay in two space dimensions
    Differential and Integral Equations, vol. 19, no. 6, 601-626 (2006).
    Joint with: Kimitoshi Tsutaya.
17. Small-data scattering for nonlinear waves with potential and initial data of critical decay
    Discrete and Continuous Dynamical Systems, vol. 16, no. 1, 87-106 (2006).
18. Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential
    Journal of Differential Equations, vol. 219, no. 2, 259-305 (2005).

• Weighted decay estimates for the wave equation with radially symmetric data

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