HIGHER REGULARITY FOR PARABOLIC EQUATIONS BASED ON MAXIMAL Lp-Lq SPACES
نویسندگان
چکیده
In this paper we prove higher regularity for 2m-th order parabolic equations with general boundary conditions. This is a kind of maximal L_p-L_q differentiability, i.e. the main theorem isomorphism between solution space and data using Besov Triebel--Lizorkin spaces. The key compatibility conditions initial data. We are able to get unique smooth if satisfying smooth.
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ژورنال
عنوان ژورنال: Advances in differential equations and control processes
سال: 2022
ISSN: ['0974-3243']
DOI: https://doi.org/10.17654/0974324322012