The BV solution of the parabolic equation with degeneracy on the boundary
Keyword(s):
AbstractConsider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.
2013 ◽
Vol 25
(4)
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pp. 517-555
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Keyword(s):
Keyword(s):
2014 ◽
Vol 23
(5)
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pp. 884-900
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