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- Istituto di Fotonica e NanotecnologieIT287 papers
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6 papers · 2 filters
Minimal coexistence configurations for multispecies systems
Monica Conti, Veronica Felli
We deal with strongly competing multispecies systems of Lotka-Volterra type with homogeneous Neumann boundary conditions in dumbbell-like domains. Under suitable non-degeneracy ass…
Basic properties of nonsmooth Hormander's vector fields and Poincare's inequality
Marco Bramanti, Luca Brandolini, Marco Pedroni
We consider a family of vector fields defined in some bounded domain of R^p, and we assume that they satisfy Hormander's rank condition of some step r, and that their coefficients…
Global estimates for degenerate Ornstein-Uhlenbeck operators
M. Bramanti, G. Cupini, E. Lanconelli +1
We consider a class of degenerate Ornstein-Uhlenbeck operators in , of the kind \[ \mathcal{A}\equiv\sum_{i,j=1}^{p_{0}}a_{ij}\partial_{x_{i}x_{j}}^{2} +\sum_{i,j=1…
Multipulse phases in k-mixtures of Bose-Einstein condensates
Susanna Terracini, Gianmaria Verzini
For a competitive system of k coupled nonlinear Schroedinger equations we prove the existence, when the competition parameter is large, of positive radial solutions on R^N. We show…
Optimal time and space regularity for solutions of degenerate differential equations
Alberto Favaron
We derive optimal regularity, in both time and space, for solutions of the Cauchy problem related to a degenerate differential equation in a Banach space X. Our results exhibit a s…
On the 2D Cahn-Hilliard equation with inertial term
Maurizio Grasselli, Giulio Schimperna, Sergey Zelik
P. Galenko et al. proposed a modified Cahn-Hilliard equation to model rapid spinodal decomposition in non-equilibrium phase separation processes. This equation contains an inertial…