Work

A Regularity Theory for Evolution Equations with Time-measurable Pseudo-differential Operators in Weighted Mixed-norm Sobolev-Lipschitz Spaces

Year: 2024

Type: article

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.

Source: Potential Analysis

DOI: 10.1007/s11118-024-10181-1

Author: Jae-Hwan Choi

Institution: Seoul National University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: National Research Foundation, Seoul National University, National Research Foundation of Korea