A regularity theory for evolution equations with time-measurable pseudo-differential operators in weighted mixed-norm Sobolev-Lipschitz spaces

2024/02/06 by Choi, Jae-Hwan
#26A16 #35D35 #35S10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 35K99 #Secondary: 47G30

paper · doi:10.48550/arxiv.2402.03609

Abstract

This paper investigates the existence, uniqueness, and regularity of solutions to evolution equations with time-measurable pseudo-differential operators in weighted mixed-norm Sobolev-Lipschitz spaces. We also explore trace embedding and continuity of solutions.

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