PI: Machedon DMS-9501096 Machedon will study questions of well-posedness of various nonlinear wave equations. In particular, the question of existence, uniqueness and regularity under minimal assumptions of regularity of the data is addressed. These questions are approached using the new kind of smoothing estimates developed by the investigator and S. Klainerman. Partial differential equations form a basis for mathematical modeling of the physical world. The role of mathematical analysis is not so much to create the equations as it is to provide qualitative and quantitative information about the solutions. This may include answers to questions about uniqueness, smoothness and growth. In addition, analysis often develops methods for approximation of solutions and estimates on the accuracy of these approximations.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9501096
Program Officer
Joe W. Jenkins
Project Start
Project End
Budget Start
1995-07-01
Budget End
1998-12-31
Support Year
Fiscal Year
1995
Total Cost
$71,343
Indirect Cost
Name
University of Maryland College Park
Department
Type
DUNS #
City
College Park
State
MD
Country
United States
Zip Code
20742