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Non-local diffusion with free boundaries
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DOI：10.1016/j.jmaa.2025.130183.png)
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We prove optimal regularity and derive several geometric properties for solutions of a free boundary problem with fractional diffusion. Additionally, we deduce local C1,alpha regularity results for the corresponding interior and exterior free boundaries. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keyword:
Minimization
Fractional Laplacian
Optimal regularity
Free boundary problems
期刊
J
IF:
1.2
论文数:
418
被引数:
0
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