Abstract/Details

Numerical and theoretical results for the real Monge-Ampere equations

Wang, Chunying. 
 University of Connecticut ProQuest Dissertations Publishing,  1995. 9542354.

Abstract (summary)

The real Monge-Ampere equation$$\left\{\eqalign{&M(u) = det(\nabla\sp2u) = g(x, -u)\quad{\rm in}\ \Omega\cr&u = 0\qquad\qquad\qquad\qquad\qquad\qquad{\rm on}\ \partial\Omega}$$ was studied in this dissertation. This dissertation consists of two different types of numerical solutions for the real Monge-Ampere Equations (one is the mountain pass solution and the other is the minimum solution). The second part is concerned with the monotonicity property of the subsolution and supersolution. The numerical results will be approached by this monotonicity property for $M(u) = det(\nabla\sp2u) = h(x)e\sp{u}$.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; monotonicity
Title
Numerical and theoretical results for the real Monge-Ampere equations
Author
Wang, Chunying
Number of pages
59
Degree date
1995
School code
0056
Source
DAI-B 56/08, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-208-97269-4
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9542354
ProQuest document ID
304211549
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/304211549/abstract