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The BV solution of the parabolic equation with degeneracy on the boundary

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Zhan H., Chen S.

Open Mathematics

2016

tom 14

nr 1

272-282

Consider 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.

Ograniczanie wyników

1 Open Mathematics

1 Chen S.

1 Zhan H.

1 2016

Wyniki wyszukiwania

The BV solution of the parabolic equation with degeneracy on the boundary