# Prossimi seminari del Dipartimento di Matematica

tra circa 8 ore

23
Gen

Giovedì
Petr Grinevich
Selection of real regular finite gap-solutions of soliton equations - II
ore 15:00
presso Seminario I
Lecture 2: “Difficult case” 1. Focusing Nonlinear Schr¨odinger equation. Cherednik differential for the Nonlinear Schr¨odinger equation. Characterization of divisors for real solutions in terms of Cherednik differential. Elementary characterization of admissible divisors. Regularity of all real solutions. 2. Sine-Gordon equation. Cherednik differential for the Since-Gordon equation. Characterization of divisors for real solutions in terms of Cherednik differential. Elementary characterization of admissible divisors. Regularity of all real solutions. 3. Number of connected components in the space of solutions for a fixed spectral curve. 4. Real regular Kadomtsev-Perviashvili I solutions.
tra circa 9 ore

23
Gen

Giovedì
Giorgio Tortone
Bernoulli type free-boundary problems: the vectorial and non-local cases

seminario di analisi matematica

ore 16:15
presso Seminario I

30
Gen

Giovedì
Matteo Franca
A dynamical system approach to the scalar curvature equation: multiplicity results.

nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI

seminario di analisi matematica

ore 15:30
presso Seminario II
In this talk we illustrate results concerning radial positive solutions of semi-linear elliptic equations such as $$\Delta u + k(|x|) u^{q-1}=0 \qquad \qquad \qquad (1)$$ where $x \in \mathbb{R}^n$, $n>2$, $k(|x|)>0$, and its generalization to the $p$-Laplace case. We focus in particular on the critical case $q=2^*=\frac{2n}{n-2}$. Our goal is to find conditions on $k$ ensuring existence and multiplicity of ground states with fast decay, i.e. solutions $u(x)$ defined and positive in the whole of $\mathbb{R}^n$ and decaying as $|x|^{-(n-2)}$ for $|x|$ large. Using Fowler transformation we pass from (1) to a two dimensional dynamical system so that we can apply phase plane techniques such as invariant manifold theory, shooting, Melnikov theory. In particular the search of ground states with fast decay is translated on the search of homoclinic trajectories.

04
Feb

Martedì
Alessio Savini
Prima lezione corso su Gruppi di Lie

seminario di algebra e geometria

ore 14:00
presso Seminario II
I

04
Feb

Martedì
Alessandro Monguzzi (Università di Milano–Bicocca)
Spaces of Entire Functions in C^n+1

seminario di analisi matematica

ore 16:30
presso Seminario II
A renowned space of entire functions of one complex variable is the Paley–Wiener space P W A , that is, the space of entire functions of exponential type A whose restriction to the real line is square integrable. After recalling some basic properties of P W A I will present a generalization of this space in several complex variables. In particular, I will consider entire functions which satisfy a suitable exponential growth condition and whose restriction to the boundary of the Siegel half-space satisfy some integrability conditions. Time permitting, I will provide a Paley–Wiener type characterization and a sampling result. This is a joint work in progress with Marco Peloso and Maura Salvatori.