Title :
The second boundary value problem for a class parabolic Monge-Ampère Equation
Author :
Wang Juan ; Jin-lin, Yang
Author_Institution :
Sch. of Math., Phys. & Biol. Eng., Inner Mongolia Univ. of Sci. & Technol., Baotou, China
Abstract :
It proves the asymptotic behavior of a classical solution to the second boundary value problem for a class parabolic-type Monge-Ampère Equation. Using Dini´s theorem and interpolation inequalities, it shows the classical solution converges eventually to a solution of the prescribed elliptic Monge-Ampère Equation.
Keywords :
boundary-value problems; interpolation; nonlinear equations; Dini theorem; asymptotic behavior; class parabolic Monge-Ampere equation; elliptic Monge-Ampere equation; interpolation inequalities; second boundary value problem; Boundary conditions; Geometry; Interpolation; Jacobian matrices; Nonlinear equations; Monge-Ampère equation; boundary condition; priori estimation;
Conference_Titel :
Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC), 2011 2nd International Conference on
Conference_Location :
Deng Leng
Print_ISBN :
978-1-4577-0535-9
DOI :
10.1109/AIMSEC.2011.6010940