Viscosity solutions to Parabolic complex Hessian type equations
Hoang-Son Do
TL;DR
This paper establishes the existence and uniqueness of viscosity solutions for a class of fully nonlinear parabolic equations, extending recent work in the field.
Contribution
It introduces new results on viscosity solutions for parabolic complex Hessian equations, broadening the scope of previous research.
Findings
Proved existence and uniqueness of viscosity solutions.
Extended results to a broader class of parabolic equations.
Built upon and generalized prior work by Eyssidieux-Guedj-Zeriahi.
Abstract
In this paper, we show the existence and uniqueness of viscosity solution to the Cauchy-Dirichlet problem for a class of fully nonlinear parabolic equations. This extends recent results of Eyssidieux-Guedj-Zeriahi.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows · Geometry and complex manifolds