DocumentCode
3042417
Title
Maximum principles for inhomogeneous equation
Author
He, Yafei ; Zhang, Hailiang
Author_Institution
Dept. of Math., Zhejiang Ocean Univ., Zhoushan, China
fYear
2011
fDate
26-28 July 2011
Firstpage
5923
Lastpage
5925
Abstract
A class of inhomogeneous semilinear elliptic equations is considered. The Hopf maximum principles are used to deduce that certain functions defined for solutions of the equation attain a maximum on the boundary of the domain or at a critical point of the solution. Dirichlet problem and Neumann problem are considered also. These maximum principles may be used to determine bounds for quantities of interest in some physical problems. Our results generalize and deepen those from corresponding work in [5, 6].
Keywords
elliptic equations; partial differential equations; Dirichlet problem; Hopf maximum principles; Neumann problem; inhomogeneous semilinear elliptic equations; Boundary conditions; Equations; Mathematical model; Nonhomogeneous media; Oceans; P-function; elliptic equation; inhomogeneous; maximum principle;
fLanguage
English
Publisher
ieee
Conference_Titel
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location
Hangzhou
Print_ISBN
978-1-61284-771-9
Type
conf
DOI
10.1109/ICMT.2011.6002687
Filename
6002687
Link To Document