Uniqeness of BV Entropy Solutions for High Dimensional Quasilinear Parabolic Equations with Arbitrary Degeneracy
Jingxe, Yin ; Peidong, Lei ; Zhuoqun, Wu
Commun. Math. Sci., Tome 1 (2003) no. 1, p. 697-714 / Harvested from Project Euclid
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This paper deals with the Cauchy problem for the quasilinear parabolic equations with arbitrary degeneracy. We give a new and natural definition of BV entropy solution. The uniqueness of the natural BV entropy solutions is obtained. In order to prove the uniqueness, the discontinuity conditions for these solutions are established. Also, we construct an example of the natural BVentropy solution.
Publié le : 2003-12-14
Classification:  
@article{1119655352,
     author = {Jingxe, Yin and Peidong, Lei and Zhuoqun, Wu},
     title = {Uniqeness of BV Entropy Solutions for High Dimensional
Quasilinear Parabolic Equations with Arbitrary Degeneracy},
     journal = {Commun. Math. Sci.},
     volume = {1},
     number = {1},
     year = {2003},
     pages = { 697-714},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1119655352}
}

Jingxe, Yin; Peidong, Lei; Zhuoqun, Wu. Uniqeness of BV Entropy Solutions for High Dimensional
Quasilinear Parabolic Equations with Arbitrary Degeneracy. Commun. Math. Sci., Tome 1 (2003) no. 1, pp.  697-714. http://gdmltest.u-ga.fr/item/1119655352/