| Abstract: |
| Hairer`s theory of regularity structures provides a powerful tool to define and construct solutions to extremely irregular SPDEs, e.g. white noise driven equations from mathematical physics. The theory is tailored to provide local in time existence and uniqueness by formalising the mild formulation of the equation.
In this talk I will discuss how to obtain a priori bounds which lead to global existence within the framework of regularity structures. I will concentrate in the $\phi^4$ model. |
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