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math.AP2021
Existence Theorems for a Fourth-Order Exponential PDE Related to Crystal Surface Growth
Brock C. Price, Xiangsheng Xu
In this article we prove the global existence of a unique strong solution to the initial boundary-value problem for a fourth-order exponential PDE. The equation we study was origin…
math.AP2021
Strong solutions to a fourth order exponential PDE describing epitaxial growth
Brock C. Price, Xiangsheng Xu
In this paper we prove the global existence of a strong solution to the initial boundary value problem for the exponential partial differential equation $\partial_tu-Δe^{-Δu}+e^{-Δ…