Affiliation:
1. Departamento de Matemática, Universidade Estadual de Campinas, 13.081-970 – Campinas – SP, Brazil
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 '90s. 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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics