$$W^{\sigma ,p}$$ A priori estimates for fully nonlinear integro-differential equations

$$W^{\sigma ,p}$$ A priori estimates for fully nonlinear integro-differential equations
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$$W^{sigma ,p}$$完全非线性积分微分方程的先验估计

DOI:
10.1007/s00526-022-02276-7
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发表时间:
2022
影响因子:
2.1
通讯作者:
Kitano Shuhei
Kitano Shuhei
中科院分区:
数学2区
文献类型:
--
作者:
冨﨑真衣;栄長泰明;Kitano Shuhei

文献摘要

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研究了一类完全非线性积分-微分方程解的估计,它类似于Caffarelli的估计。我们还给出了Aleksandrov-Bakelman-Pucci极大值原理,它是对Guillen-Schwab所证明的估计的改进,仅依赖于非齐次项的范数。
estimates are studied for a class of fully nonlinear integro-differential equations of order, which are analogues ofestimates by Caffarelli. We also present Aleksandrov-Bakelman-Pucci maximum principles, which are improvements of estimates proved by Guillen-Schwab, depending only onnorms of inhomogeneous terms.