Abstract/Details

Discontinuous solutions in L(infinity) of Hamilton-Jacobi equations


1999 1999

Other formats: Order a copy

Abstract (summary)

We introduce a general approach to construct global discontinuous solutions of Hamilton-Jacobi equations. Our approach allows the Cauchy data only in L and applies to the equations with non-convex Hamiltonians. The profit functions are introduced to formulate our new notion of discontinuous solutions. The existence of global discontinuous solutions in L is established. Our solutions in L coincide with the viscosity solutions and the minimax solutions, provided that the initial data are continuous. A prototypical equation is analyzed to examine the uniqueness and stability of discontinuous solutions.

Indexing (details)


Subject
Mathematics;
Finance;
Optics
Classification
0405: Mathematics
0508: Finance
0752: Optics
Identifier / keyword
Social sciences; Pure sciences; Discontinuous solutions; Hamilton-Jacobi equations; L-infinity; Profit functions
Title
Discontinuous solutions in L(infinity) of Hamilton-Jacobi equations
Author
Su, Bo
Number of pages
47
Publication year
1999
Degree date
1999
School code
0163
Source
DAI-B 60/06, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
0599326794, 9780599326798
Advisor
Chen, Gui-Qiang
University/institution
Northwestern University
University location
United States -- Illinois
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9932243
ProQuest document ID
304514367
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304514367/abstract
Access the complete full text

You can get the full text of this document if it is part of your institution's ProQuest subscription.

Try one of the following:

  • Connect to ProQuest through your library network and search for the document from there.
  • Request the document from your library.
  • Go to the ProQuest login page and enter a ProQuest or My Research username / password.