Hölder continuity of weak solutions to an elliptic-parabolic system modeling biological transportation network
نویسندگان
چکیده
In this paper we study the regularity of weak solutions to an elliptic-parabolic system modeling natural network formation. The is singular and involves cubic nonlinearity. Our investigation reveals that are Hölder continuous when space dimension N 2. This achieved via inequality associated with Stummel-Kato class functions refinement a lemma originally due S. Campanato C.B. Morrey ([5], p. 86).
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2023
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2023.05.022