605 citations
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT71 papers
- Scuola Normale SuperioreIT23 papers
- Centre National de la Recherche ScientifiqueFR16 papers
- University of TriesteIT16 papers
- University of PaduaIT15 papers
- University of SienaIT14 papers
- Sapienza University of RomeIT12 papers
- Universitat Autònoma de BarcelonaES11 papers
- University of California, DavisUS11 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT10 papers
- ETH ZurichCH9 papers
- Institute for High Energy PhysicsES9 papers
13 papers · 1 filter
On the evolution of subcritical regions for the Perona-Malik equation
Marina Ghisi, Massimo Gobbino
The Perona-Malik equation is a celebrated example of forward-backward parabolic equation. The forward behavior takes place in the so-called subcritical region, in which the gradien…
An example of global classical solution for the Perona-Malik equation
Marina Ghisi, Massimo Gobbino
We consider the Cauchy problem for the Perona-Malik equation in an open subset of R^{n}, with Neumann boundary conditions. It is well known that in the one-dimensional case this pr…
On the decay of solutions to a class of defocusing NLS
Nicola Visciglia
We consider the following family of Cauchy problems: {equation*} i\partial_t u= Δu - u|u|^α, (t,x) \in \R \times \R^d {equation*} where f…
Energy dissipation and self-similar solutions for an unforced inviscid dyadic model
D. Barbato, F. Flandoli, F. Morandin
A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved a…
Hylomorphic solitons in the nonlinear Klein-Gordon equation
J. Bellazzini, V. Benci, C. Bonanno +1
Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localised packet and which preserves this localisation in time. A soliton is a solitary…
Scattering for small energy solutions of NLS with periodic potential in 1D
Scipio Cuccagna, Nicola Visciglia
We prove scattering for small solutions to of nonlinear Schroedinger equations in 1D with a space periodic potential