Abstract
The ill-posed semi-linear parabolic equation backward in time with the positive self-adjoint unbounded linear operator A and being given is regularized by the well-posed non-local boundary value problem Under the condition , a priori and a posteriori parameter choice rules are suggested which yield the error estimate for some positive constant C.
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Notes
Dedicated to Professor Bernd Hofmann on the occasion of his sixtieth birthday.
This research was supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) [grant number 101.02-2014.54]; Vietnam Ministry of Education and Training [grant number B2013-27-09].