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Stability and maximal regularity of the diffusion equation on unbounded surfaces

Koba, Hajime
arXiv (All) · Papers
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analysis-of-pdes
This paper studies both stability and maximal regularity of the diffusion equation on an unbounded surface without any assumptions on the curvature. We show that the surface diffusion system admits a unique global-in-time strong solution satisfying $L^2$-asymptotic stability when the slope of the su
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