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引用次数: 0
摘要
我们研究了一个涉及阶数为 s 的分数 p-Laplacian 的抛物方程的局部有界性和霍尔德连续性，该方程有一个一般的右边：\(0<s<1\), \(2\le p < \infty \)。我们的重点是获得精确的霍尔德连续性估计。证明是基于一个扰动论证，使用已经知道的对方程右边为零的解的霍尔德连续性估计。
A perturbative approach to Hölder continuity of solutions to a nonlocal p-parabolic equation
We study local boundedness and Hölder continuity of a parabolic equation involving the fractional p-Laplacian of order s, with \(0<s<1\), \(2\le p < \infty \), with a general right-hand side. We focus on obtaining precise Hölder continuity estimates. The proof is based on a perturbative argument using the already known Hölder continuity estimate for solutions to the equation with zero right-hand side.
期刊介绍：
The Journal of Evolution Equations (JEE) publishes high-quality, peer-reviewed papers on equations dealing with time dependent systems and ranging from abstract theory to concrete applications.
Research articles should contain new and important results. Survey articles on recent developments are also considered as important contributions to the field.
Particular topics covered by the journal are:
Linear and Nonlinear Semigroups
Parabolic and Hyperbolic Partial Differential Equations
Reaction Diffusion Equations
Deterministic and Stochastic Control Systems
Transport and Population Equations
Volterra Equations
Delay Equations
Stochastic Processes and Dirichlet Forms
Maximal Regularity and Functional Calculi
Asymptotics and Qualitative Theory of Linear and Nonlinear Evolution Equations
Evolution Equations in Mathematical Physics
Elliptic Operators
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