講座主題:Boundary Regularity for Degenerate-Singular Monge-Ampere Equations
專家姓名:簡(jiǎn)懷玉
工作單位:清華大學(xué)
講座時(shí)間:2018年12月21號(hào)15:00-16:00
講座地點(diǎn):數(shù)學(xué)院341
主辦單位:數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要:
In 1977, Cheng and Yau studied a class of Monge-Ampere Equations from affine geometry which may be singular or degenerate on the boundary. They obtained the existence, uniqueness and interior regularity for the solution. In this talk, we will discuss the boundary regularity for the solution as well as for smoothness of the boundary of the affine hyperbolic sphere. As a by-product of the regularity, we improve the result of the existence.
主講人介紹:
簡(jiǎn)懷玉,,清華大學(xué)教授、博士生導(dǎo)師,、首批教學(xué)科研系列責(zé)任教授,,曾任中國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)常務(wù)理事和秘書長(zhǎng).在Adv. Math.,、Amer. J. Math.,、SIAM J. Appl. Math.,、SIAM J. Math. Anal.,、J. Funct. Anal.、Calc. Var. Partial Differential Equations,、J. Diff. Equations,、Pacific J. Math.、J. Reine Angew. Math.,、Indiana Univ. Math. J.等國(guó)際頂級(jí)學(xué)術(shù)期刊發(fā)表論文40余篇.