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Continuous dependence for the Brinkman–Darcy–Kelvin–Voigt equations backward in time
Author(s) -
Straughan B.
Publication year - 2021
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/mma.7082
Subject(s) - mathematics , uniqueness , convexity , mathematical analysis , logarithm , hölder condition , time derivative , economics , financial economics
We show that the solution to the Brinkman–Darcy–Kelvin–Voigt equations backward in time depends Hölder continuously upon the final data. A logarithmic convexity technique is employed, and uniqueness of the solution is simultaneously achieved.