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Renormalized-Generalized Solutions for the KPZ Equation

By P. Catuogno and C. Olivera

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.Comment: to appears in Infinite Dimensional Analysis, Quantum Probability and Related Topic

Topics: Mathematics - Functional Analysis, Mathematical Physics, Mathematics - Probability
Year: 2014
DOI identifier: 10.1142/s0219025714500271
OAI identifier: oai:arXiv.org:1209.0820

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