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.

Stochastic partial differential equations, Regularity structures, Renormalisation

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.