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Variational approach to a non‐local identification problem related to non‐linear ion transport
Author(s) -
Hasanov Alemdar
Publication year - 1998
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19980910)21:13<1195::aid-mma991>3.0.co;2-b
Subject(s) - mathematics , parameter identification problem , identification (biology) , norm (philosophy) , transformation (genetics) , differential equation , mathematical analysis , model parameter , biochemistry , botany , chemistry , political science , gene , law , biology
A variational approach to a non‐linear non‐local identification problem related to the non‐linear transport equation is studied. Introducing a similarity transformation, the problem is formulated as an identification problem for a non‐linear differential equation of second order with an additional non‐local condition. For the solution of the forward problem stability in H 1 ‐norm with respect to the identification parameter is obtained. Using this result the existence of a solution to the identification problem is proved. Some results of computational experiments are given. © 1998 B. G. Teubner Stuttgart—John Wiley & Sons, Ltd.