An introduction to singular SPDEs
Massimiliano Gubinelli, Nicolas Perkowski
TL;DR
This paper provides an overview of recent advances in the analysis of singular stochastic partial differential equations using the framework of paracontrolled distributions, highlighting key developments and techniques.
Contribution
It introduces the application of paracontrolled distributions to analyze singular SPDEs, summarizing recent progress in the field.
Findings
Summarizes key techniques in singular SPDE analysis
Highlights the role of paracontrolled distributions
Provides an accessible overview of recent research
Abstract
We review recent results on the analysis of singular stochastic partial differential equations in the language of paracontrolled distributions.
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Taxonomy
TopicsStochastic processes and financial applications · Navier-Stokes equation solutions · Advanced Mathematical Physics Problems