SEMINARIO DI MATEMATICA

*Mercoledì 4 marzo 2020*

ore 17:00

*Scuola Normale Superiore*

Pisa

Aula Mancini

*Michal Kowalczyk* *(**Center for Mathematical Modelling, Universidad de Santiago, Chile)*

Terrà un seminario dal titolo:

*“Doubling construction for $O(m)\times O(n)$ invariant solutions to the Allen-Cahn equation”*

*Abstract:*

In this talk I will discuss the construction of new families of two-ended $O(m)\times O(n)$-invariant solutions to the Allen-Cahn equation $\Delta u+u-u3$=0 in $\R^{N+1}$, with $N\ge 7$, whose zero level sets diverge logarithmically from the Lawson cone at infinity. The construction is based on a careful study of the Jacobi-Toda system on a given $O(m)\times O(n)$-invariant manifold, which is asymptotic to the Lawson cone at infinity. This is a joint work with. O. Agudelo and M. Rizzi.

Tutti gli interessati sono invitati a partecipare.

Classe di Scienze Valeria Giuliani Scuola Normale Superiore Servizio alla Didattica e Allievi tel. 050 509260 Piazza dei Cavalieri, 7 56126 Pisa E-mail: valeria.giuliani@sns.it E-mail: classi@sns.it