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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Renormalized-generalized solutions for the KPZ equation

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Author(s):
Catuogno, Pedro [1] ; Olivera, Christian [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Dept Matemat, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS; v. 17, n. 4 DEC 2014.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 12/18739-0 - Generalized functions and stochastic equations
Grantee:Christian Horacio Olivera
Support Opportunities: Regular Research Grants