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

100%

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.

The finite speed of propagation of solutions of the Neumann problem of a degenerate parabolic equation

88%

Pan J.

Open Mathematics

2011

tom 9

nr 3

673-685

In this paper the finite speed of propagation of solutions and the continuous dependence on the nonlinearity of a degenerate parabolic partial differential equation are discussed. Our objective is to derive an explicit expression for the speed of propagation and the large time behavior of the solution and to show that the solution continuously depends on the nonlinearity of the equation.

Ograniczanie wyników

2 Open Mathematics

1 Pan J.

1 Zhan H. Z.

1 2015

1 2011

Wyniki wyszukiwania

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

The finite speed of propagation of solutions of the Neumann problem of a degenerate parabolic equation