## Renormalization of the two-dimensional stochastic nonlinear wave equations

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- by Massimiliano Gubinelli, Herbert Koch and Tadahiro Oh PDF
- Trans. Amer. Math. Soc.
**370**(2018), 7335-7359 Request permission

## Abstract:

We study the two-dimensional stochastic nonlinear wave equations (SNLW) with an additive space-time white noise forcing. In particular, we introduce a time-dependent renormalization and prove that SNLW is pathwise locally well-posed. As an application of the local well-posedness argument, we also establish a weak universality result for the renormalized SNLW.## References

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## Additional Information

**Massimiliano Gubinelli**- Affiliation: Hausdorff Center for Mathematics & Institut für Angewandte Mathematik, Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany
- MR Author ID: 692441
- Email: gubinelli@iam.uni-bonn.de
**Herbert Koch**- Affiliation: Mathematisches Institut, Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany
- MR Author ID: 340038
- Email: koch@math.uni-bonn.de
**Tadahiro Oh**- Affiliation: School of Mathematics, The University of Edinburgh, and The Maxwell Institute for the Mathematical Sciences, James Clerk Maxwell Building, The King’s Buildings, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, United Kingdom
- MR Author ID: 782317
- Email: hiro.oh@ed.ac.uk
- Received by editor(s): March 23, 2017
- Published electronically: June 7, 2018
- Additional Notes: The first author was partially supported by the DFG through CRC 1060

The second author was partially supported by the DFG through CRC 1060

The third author was supported by the ERC starting grant no. 637995 “ProbDynDispEq” - © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**370**(2018), 7335-7359 - MSC (2010): Primary 35L71, 60H15
- DOI: https://doi.org/10.1090/tran/7452
- MathSciNet review: 3841850