An elliptic partial differential equation and its application

This paper deals with the following elliptic equation −2σ2Δz+∇z2+4αz=4x2forx∈RN, (N≥1),where α>0, and σ>0 are some real constants. The solution method is based on the sub- and super-solutions approach. The case N>1 seemed not considered before. This equation models a stochastic production p...

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Bibliographic Details
Published in:Applied mathematics letters 2020-03, Vol.101, p.106059, Article 106059
Main Authors: Covei, Dragos-Patru, Pirvu, Traian A.
Format: Article
Language:English
Subjects:
Elliptic equation
Stochastic production planning
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Summary:This paper deals with the following elliptic equation −2σ2Δz+∇z2+4αz=4x2forx∈RN, (N≥1),where α>0, and σ>0 are some real constants. The solution method is based on the sub- and super-solutions approach. The case N>1 seemed not considered before. This equation models a stochastic production planning problem.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2019.106059