Journal
ADVANCES IN MATHEMATICS
Volume 224, Issue 1, Pages 293-315Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2009.11.010
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- European Science Foundation
- National Science Foundation
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Motivated by the boundary heat control problems formulated in the book of Duvaut and Lions, we study a boundary Stefan problem and a boundary porous media problem. We prove continuity of the solution with the appropriate modulus. We also extend the results to the fractional order case and to the anomalous diffusion problems. (C) 2009 Elsevier Inc. All rights reserved.
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