Renormalized-Generalized Solutions for the KPZ Equation
Functional Analysis
2014-07-23 v3 Mathematical Physics
math.MP
Probability
Abstract
This work introduces a new notion of solution for the KPZ equation, in particular, our approach encompasses the Cole-Hopf solution. We set in the context of the distribution theory the proposed results by Bertini and Giacomin from the mid 90's. This new approach provides a pathwise notion of solution as well as a structured approximation theory. The developments are based on regularization arguments from the theory of distributions.
Keywords
Cite
@article{arxiv.1209.0820,
title = {Renormalized-Generalized Solutions for the KPZ Equation},
author = {P. Catuogno and C. Olivera},
journal= {arXiv preprint arXiv:1209.0820},
year = {2014}
}
Comments
to appears in Infinite Dimensional Analysis, Quantum Probability and Related Topics