Existence and uniqueness of solution of free boundary problems with partially degenerate diffusion
Siyu Liu, Mingxin Wang
TL;DR
This paper introduces a general method to establish the existence and uniqueness of solutions for free boundary problems involving partially degenerate diffusion, addressing a complex class of differential equations.
Contribution
The paper presents a novel general approach for analyzing the existence and uniqueness of solutions in free boundary problems with partially degenerate diffusion.
Findings
Established a new method for free boundary problems
Proved existence and uniqueness under broad conditions
Applicable to various partially degenerate diffusion models
Abstract
In this paper, we mainly introduce a general method to study the existence and uniqueness of solution of free boundary problems with partially degenerate diffusion.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Differential Equations and Numerical Methods · Advanced Mathematical Modeling in Engineering