The Lichnerowicz equation is a semilinear elliptic equation,which arises as a part of the Einstein constraint system of general relativity.The nonlinearity is not monotone and involves both positive and negativepowers of the unknown. In this talk I will discuss preliminary results onthe well posedness of the Lichnerowicz equation on a bounded domain andaddress some key issues in using finite element methods for solvingthis equation.
Monday, April 21, 2008
11:00AM AP&M 2402
Center for Computational Mathematics9500 Gilman Dr. #0112La Jolla, CA 92093-0112Tel: (858)534-9056