---------- Forwarded message ---------- Date: Tue, 13 Oct 2020 09:57:12 +0000 From: michele giordano g.michele@outlook.com

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Dear all,

This is an announcement of the: STAR Online Seminars.

The seminar will be held on Friday 16. October from 11:00-12:00.  You will recieve the link for the zoom room by registering for the seminar at the following link (https://nettskjema.no/a/159180). The lecture will last for 45 minutes + questions.

This week's speaker is Marta Sanz-Sole from University of Barcelona, with the seminar: Stochastic wave equations with super-linear coefficients.

Abstract: We consider a stochastic wave equation on $R^d , d \in {1, 2, 3}$, driven by a Gaussian noise in $(t, x)$, white in time. We assume that the free terms $b$ and $\sigma$ are such that, for $|x| \rightarrow \infty$,

$|\sigma(x)| < \sigma_1 + \sigma_2|x| (\ln_+(|x|))^a , |b(x)| < \theta_1 + \theta_2|x| (\ln_+(|x|))^{\delta}$ , (1)

where $\theta_2, \sigma_2 > 0, \delta , a > 0$, with $b$ dominating over $\sigma$. For any fixed time horizon $T > 0$ and with a suitable constraints on the parameters $a, \delta, \sigma_2$ and $\theta_2$, we prove existence of a random field solution to the equation and that this solution is unique, and bounded in time and in space a.s. The research is motivated by the article [R. Dalang, D. Khoshnevisan, T. Zhang, AoP, 2019] on a $1-d$ reaction-diffusion equation with coefficients satisfying conditions similar to (1). We see that the $L^\infty$- method used by these authors can be successfully implemented in the case of wave equations. This is joint work with A. Millet (U. Paris 1, Pantheon-Sorbonne).

After the end of the seminar, you are invited to bring a cup of coffee or tea and have a chat in our ''Coffee in the Stars'' here you will have the chance to talk and interact with the other persons that attended the seminar, and have a digital "coffee break".

We are looking forward to see you, online!

Best regards,  Michele Giordano Doctoral research fellow Department of Mathematics University of Oslo, Norway

------------------------------------------------------------------------- Register for the seminar: https://nettskjema.no/a/159180 Link for the seminar webpage: https://www.mn.uio.no/math/english/research/projects/storm/events/seminars/s...