Browsing 2019 by MSC "35"

Now showing items 1-2 of 2

Global Solutions to Stochastic Wave Equations with Superlinear Coefficients

[OWP-2019-26] Millet, Annie; Sanz-Solé, Marta (Mathematisches Forschungsinstitut Oberwolfach, 2019-11-13)

We prove existence and uniqueness of a random field solution $(u(t,x);(t,x)\in [0,T]\times \mathbb{R}^d)$ to a stochastic wave equation in dimensions $d=1,2,3$ with diffusion and drift coefficients of the form $|x| ...
Time Discretization Schemes for Hyperbolic Systems on Networks by ε-Expansion

[OWP-2019-03] Altmann, Robert; Zimmer, Christoph (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-12)

We consider partial differential equations on networks with a small parameter $\epsilon$ , which are hyperbolic for $\epsilon>0$ and parabolic for $\epsilon=0$ . With a combination of an $\epsilon$ -expansion and Runge-Kutta ...