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

Jae-Hwan Choi

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

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arxiv 2402.03609 v2 pith:YBKE5KU4 submitted 2024-02-06 math.AP

Jae-Hwan Choi This is my paper · ORCID

classification math.AP

keywords equationsevolutionmixed-normoperatorspseudo-differentialregularitysobolev-lipschitzsolutions

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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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