Schauder theorems for a class of (pseudo‐)differential operators on finite‐ and infinite‐dimensional state spaces
نویسندگان
چکیده
We prove maximal regularity results in H\"older and Zygmund spaces for linear stationary evolution equations driven by a large class of differential pseudo-differential operators L, both finite infinite dimension. The assumptions are given terms the semigroup generated L. cover cases fractional Laplacians Ornstein-Uhlenbeck with diffusion dimension, several types local nonlocal operators, as well Gross Laplacian its negative powers,
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2021
ISSN: ['1469-7750', '0024-6107']
DOI: https://doi.org/10.1112/jlms.12436