HOLDER REGULARITY OF PARABOLIC QUASI-LINEAR DEGENERATE AND SINGULAR EQUATIONS

LIST

모드선택 :              
세미나 신청은 모드에서 세미나실 사용여부를 먼저 확인하세요

HOLDER REGULARITY OF PARABOLIC QUASI-LINEAR DEGENERATE AND SINGULAR EQUATIONS

수리과학부 0 1387
구분 비선형편미분방정식 세미나
일정 2018-03-07(수) 16:00~18:00
세미나실 27동 325호
강연자 황숙정 (연세대학교)
담당교수 변순식
기타
2018년 3월 7일 오후 4-5시 Abstract. In this talk, we introduce a class of quasi-linear parabolic equations with the principal part in divergence form, that are either degenerate or singular due to the vanishing of a solution or its gradient. In particular, we mainly discuss the local Holder continuity of weak solutions to equations of p-Laplace type and of porous medium type. The generalized structure in the setting from Orlicz spaces and quantitative methods of proofs are main subjects. Details of di erent geometric characters of degenerate and singular solutions are discussed. Furthermore, we may discuss Holder continuity of porous medium equations on the drift vector eld.

    정원 :
    부속시설 :
세미나명