| Abstract: |
| In this talk I will present some new results regarding the existence, uniqueness and regularity of solutions to stochastic reaction-diffusion models. The solution theory will be established in general Banach spaces. Using refined estimates, we obtain well-posedness for a wider class of systems, allowing for instance non-linearities with higher growth. Additional properties like blow-up criteria and instantaneous regularization of solutions will also be presented. If time permits, extensions to models with non-trace class noise will also be shown.
While the results will be formulated in general Banach spaces, they will be motivated by concrete examples from Biology and related disciplines. This is joint work with Antonio Agresti and Mark Veraar. |
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