Parabolic Hessian Equations Outside a Cylinder

Limei Dai () and Xuewen Guo
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Limei Dai: School of Mathematics and Information Science, Weifang University, Weifang 261061, China
Xuewen Guo: College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China

Mathematics, 2022, vol. 10, issue 16, 1-16

Abstract: In this article, we mainly review the parabolic Hessian equation on the exterior region. The existence and uniqueness of solutions with asymptotic properties to the exterior problem of the parabolic Hessian equation were obtained by using the Perron method.

Keywords: asymptotic behavior; exterior Dirichlet problem; viscosity solution; Hessian equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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