MONOTONICITY AND UNIQUENESS RESULTS IN IDENTIFYING AN UNKNOWN COEFFICIENT IN A NON-LINEAR DIFFUSION EQUATION

被引:31
作者
DUCHATEAU, P
机构
关键词
Compendex;
D O I
10.1137/0141027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
DIFFUSION
引用
收藏
页码:310 / 323
页数:14
相关论文
共 7 条
[1]  
CANNON J R, 1970, Mathematical Biosciences, V9, P61, DOI 10.1016/0025-5564(70)90093-3
[2]   AN INVERSE PROBLEM FOR A NON-LINEAR DIFFUSION EQUATION [J].
CANNON, JR ;
DUCHATEAU, P .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1980, 39 (02) :272-289
[3]   DETERMINATION OF UNKNOWN PHYSICAL PROPERTIES IN HEAT-CONDUCTION PROBLEMS [J].
CANNON, JR ;
DUCHATEAU, P .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1973, 11 (07) :783-794
[4]   DETERMINATION OF UNKNOWN COEFFICIENTS IN PARABOLIC OPERATORS FROM OVER-SPECIFIED INITIAL-BOUNDARY DATA [J].
CANNON, JR ;
DUCHATEAU, PC .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1978, 100 (03) :503-507
[5]  
CANNON JR, 1979, J MATH APPL, V2, P536
[6]  
Ladyzenskaja O.A., 1968, LINEAR QUASILINEAR E, V23
[7]  
Protter Murray H., 1984, MAXIMUM PRINCIPLES D, DOI [10.1007/978-1-4612-5282-5, DOI 10.1007/978-1-4612-5282-5]