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A new kind of the solution of degenerate parabolic equation with unbounded convection term

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Zhan H. Z.

Open Mathematics

2015

tom 13

nr 1

A new kind of entropy solution of Cauchy problem of the strong degenerate parabolic equation [...] is introduced. If u0 ∈ L∞(RN), E = {Ei} ∈ (L2(QT))N and divE ∈ L2(QT), by a modified regularization method and choosing the suitable test functions, the BV estimates are got, the existence of the entropy solution is obtained. At last, by Kruzkov bi-variables method, the stability of the solutions is obtained.

Ograniczanie wyników

1 Open Mathematics

1 Zhan H. Z.

1 2015

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A new kind of the solution of degenerate parabolic equation with unbounded convection term