Publications in Scientific Journals:
M. Gerencser:
"Nondivergence form quasilinear heat equations driven by space-time white noise";
Annales de l'Institut Henri Poincaré - Analyse non lineaire,
36
(2020),
3;
663
- 682.
English abstract:
We give a Wong-Zakai type characterisation of the solutions of quasilinear heat equations driven by space-time white noise in 1+1 dimensions. In order to show that the renormalisation counterterms are local in the solution, a careful arrangement of a few hundred terms is required. The main tool in this computation is a general integration by parts formula that provides a number of linear identities for the renormalisation constants.
Keywords:
Stochastic partial differential equations, Regularity structures, Renormalisation
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.anihpc.2020.01.003
Electronic version of the publication:
https://publik.tuwien.ac.at/files/publik_291943.pdf
Created from the Publication Database of the Vienna University of Technology.