Work

Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations

Year: 2010

Type: preprint

Abstract: In this Note, we present a Calderón-type uniqueness theorem on the Cauchy problem of stochastic partial differential equations. To this aim, we introduce the concept of stochastic pseudo-differential operators, and establish their boundedness and other fundamental properties. The proof of our uniqueness theorem is based on a new Carleman-type estimate.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1011.6105

Authors: Liu, Xu, Zhang, Xu

Institutions: Northeast Normal University, Basque Center for Applied Mathematics, Chinese Academy of Sciences, Academy of Mathematics and Systems Science

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China

Awards: G2227267631, G2707884988, 无限维控制系统的数学理论, G864270664

OpenAlex ID: W1661776940

Cites: 5

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