التفاصيل البيبلوغرافية
| العنوان: |
Higher Hölder regularity for a subquadratic nonlocal parabolic equation. |
| المؤلفون: |
Garain, Prashanta1 (AUTHOR) pgarain92@gmail.com, Lindgren, Erik2 (AUTHOR) eriklin@math.kth.se, Tavakoli, Alireza1,2 (AUTHOR) alirezat@kth.se |
| المصدر: |
Journal of Differential Equations. Feb2025, Vol. 419, p253-290. 38p. |
| مصطلحات موضوعية: |
*EVOLUTION equations, *EXPONENTS, *EQUATIONS |
| مستخلص: |
In this paper, we are concerned with the Hölder regularity for solutions of the nonlocal evolutionary equation ∂ t u + (− Δ p) s u = 0. Here, (− Δ p) s is the fractional p -Laplacian, 0 < s < 1 and 1 < p < 2. We establish Hölder regularity with explicit Hölder exponents. We also include the inhomogeneous equation with a bounded inhomogeneity. In some cases, the obtained Hölder exponents are almost sharp. Our results complement the previous results for the superquadratic case when p ≥ 2. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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