Optimal fractional differentiability for nonlinear parabolic measure data problems

Optimal fractional differentiability for nonlinear parabolic measure data problems

We study a nonlinear parabolic equation with a finite Radon measure on the right-hand side. An optimal regularity assumption on the coefficients is identified to obtain a sharp fractional differentiability for such a parabolic measure data problem.

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Veröffentlicht in:Applied mathematics letters 2021-02, Vol.112, p.106816, Article 106816
Hauptverfasser: Byun, Sun-Sig, Cho, Namkyeong, Song, Kyeong
Format: Artikel
Sprache:eng
Schlagworte:
Fractional differentiability
Measure data problem
Nonlinear parabolic equation
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Beschreibung
Zusammenfassung:We study a nonlinear parabolic equation with a finite Radon measure on the right-hand side. An optimal regularity assumption on the coefficients is identified to obtain a sharp fractional differentiability for such a parabolic measure data problem.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106816