The lewy-stampacchia inequality for the fractional Laplacian and its application to anomalous unidirectional diffusion equations
نویسندگان
چکیده
In this paper, we consider a Lewy-Stampacchia-type inequality for the fractional Laplacian on bounded domain in Euclidean space. Using inequality, can show well-posedness of fractional-type anomalous unidirectional diffusion equations. This study is an extension work by Akagi-Kimura (2019) standard Laplacian. However, there exist several difficulties due to nonlocal feature We overcome those employing Caffarelli-Silvestre
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B
سال: 2021
ISSN: ['1531-3492', '1553-524X']
DOI: https://doi.org/10.3934/dcdsb.2021167