Regularity for Fully Nonlinear Elliptic and Parabolic Equations with Singular Absorption Terms
김한나
27동 220호
0
3574
03.09 10:11
| 구분 | 박사학위 논문 발표 |
|---|---|
| 일정 | 2026-06-12(금) 16:00~17:00 |
| 세미나실 | 27동 220호 |
| 강연자 | 김승현 (서울대학교) |
| 담당교수 | 변순식 |
| 기타 |
We investigate free boundary problems for fully nonlinear elliptic and
parabolic equations with singular absorption terms. Our main results includeexistence, optimal growth along the free boundary, sharp local regularity, and
non-degeneracy of solutions.
This presentation is divided into three parts. First, we study fully nonlinear uni-
formly elliptic equations with logarithmic singular absorption terms. Second,
we examine fully nonlinear elliptic equations with general gradient degener-
acy and singular absorption terms. Third, we study fully nonlinear uniformly
parabolic equations with singular absorption terms.
