Carleman estimate and unique continuation property for the linear stochastic Kortweg-De Vries equation

Authors

  • P. Gao

Abstract

In this paper, we obtain the well posedness of the linear stochastic Korteweg–de Vries equation by the Galerkin method, and then establish the Carleman estimate, leading to the unique continuation property (UCP) for the linear stochastic Korteweg–de Vries equation. This UCP cannot be obtained from the classical Holmgren uniqueness theorem. DOI: 10.1017/S0004972714000276

Published

2014-08-03

Issue

Vol. 90 No. 2 (2014)

Section

Articles
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