En préparation
- P. Maheux, V. Pierfelice. Revisiting the Blow-up rate for the Parabolic-Elliptic Keller-Segel System on the 2D-Euclidean Space. En cours de finalisation pour soumission (2024).
Publications (revues internationales avec comité de lecture)
- J-Ph. Anker, S. Meda, V. Pierfelice, M. Vallarino, H.-W. Zhang. Schrödinger equation on non-compact symmetric spaces. Journal of Differential Equations 356 (2023) 163-187.
- P. Maheux, V. Pierfelice. The Keller-Segel System on the Two-Dimensional Hyperbolic Space. SIAM J. Math. Anal. 52, 5 (2020) 5036-5065.
- V. Pierfelice. The incompressible Navier-Stokes equations on non-compact manifolds. The Journal of Geometric Analysis 27, 1 (2017) 577-617
- P. D'Ancona, P. Maheux, V. Pierfelice. Log-Sobolev inequalities for semi-direct product operators and applications. Mathematische Zeitschrift 283 (2016), no. 1-2, 103-131.
- J-Ph. Anker, V. Pierfelice, M. Vallarino. Wave equation on Damek-Ricci spaces. Annali di Matematica Pura ed Applicata 194, (2015) 731-758.
- J-Ph. Anker, V. Pierfelice. Wave and Klein-Gordon equations on hyperbolic spaces. Analysis & PDE 7, 4, (2014) 953-995.
- J-Ph. Anker, V. Pierfelice, M. Vallarino. Wave equation on real hyperbolic spaces. Journal of Differential Equations 252, 10, (2012), 5613-5661.
- J-Ph. Anker, V. Pierfelice, M. Vallarino. Schrödinger equations on Damek-Ricci spaces. J. Communications in Partial Differential Equations 36, 6, (2011), 976-997.
- P. D'Ancona, V. Pierfelice, F. Ricci. On the Wave equation associated to the Hermite and the Twisted Laplacian. J. Fourier Anal. Appl. 16, 2, (2010), 294-310.
- P. Gérard, V. Pierfelice. Nonlinear Schödinger equation on four-dimensional compact manifolds. Bull. Soc. Math. France 138, 1, (2010), 119-151.
- J-Ph. Anker, V. Pierfelice. The nonlinear Schrödinger equation on real hyperbolic spaces. Ann. Inst. H. Poincaré - Anal. Non Linéaire 26, (2009), 1853-1869.
- V. Pierfelice. Weighted Strichartz estimates for the Schrödinger and wave equations on Damek-Ricci spaces. Mathematische Zeitschrift 260, 2, (2008), 377-392.
- V. Pierfelice. Decay estimate for the wave equation with a small potential. Nonlinear Differential Equations and Applications 13, 5-6, (2007), 511- 530.
- V. Pierfelice. Weighted Strichartz estimates for the radial perturbed Schrödinger equation on the hyperbolic space. Manuscripta Mathematica 120, 4, (2006), 377-389.
- V. Pierfelice. Strichartz estimates for the Schrödinger and heat equations perturbed with singular and time dependent potentials. Asymptotic Analysis 47 (1,2), (2006), 1-18.
- P. D'Ancona, V. Pierfelice, A. Teta. Dispersive estimate for the Schrödinger equation with point interaction. Mathematical Methods in the Applied Sciences 29 (2006), 309-323.
- P. D'Ancona, V. Pierfelice, N. Visciglia. Some remarks on the Schrödinger equation with a potential in LtrLxs. Mathematische Annalen 333, 2, (2005), 271-290.
- P. D'Ancona, V. Pierfelice. On the wave equation with a large rough potential. Journal of Functional Analysis 227, (2005), 30-77.
Actes de conférences internationales
- V. Pierfelice. Dispersive estimates for the wave equation with a rough potential. Actes du "Colloque Franco-Tunisien d'EDP " (Hammamet, Tunisia, 16-21 Septembre 2003).
- V. Pierfelice. Kelvin Transform and weighted Strichartz estimates. Actes du colloque international "International 29th Summer School" (Sozopol, Bulgaria, Juin 2003).
Dissertations
- Mémoire de Habilitation à diriger des recherches en mathématiques (HDR): Autour de l'analyse harmonique et des équations d'évolution sur les variétés Université d'Orléans (2015).
- PhD thesis: Dispersive equations on manifolds Università di Pisa (2006).