A Regularity Theory for Evolution Equations with Time-measurable Pseudo-differential Operators in Weighted Mixed-norm Sobolev-Lipschitz Spaces
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.
Authors
- Jae-Hwan Choi (ORCID: https://orcid.org/0000-0002-0757-8695)
Institutions
- Seoul National University (KR)
Publication Details
- Journal
- Potential Analysis
- Published
- 2024-12-24
- DOI
- https://doi.org/10.1007/s11118-024-10181-1
- Citations
- 1
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.89
Funders
- National Research Foundation
- Seoul National University
- National Research Foundation of Korea