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.
@article{bwmeta1.element.doi-10_1515_math-2015-0029,
author = {Huashui Zhan},
title = {A new kind of the solution of degenerate parabolic equation with unbounded convection term},
journal = {Open Mathematics},
volume = {13},
year = {2015},
zbl = {06416640},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0029}
}
Huashui Zhan. A new kind of the solution of degenerate parabolic equation with unbounded convection term. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0029/
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