Geodesic
A Degenerate and Singular Parabolic System Coupled Through Boundary Conditions
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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The paper deals with the global existence and nonexistence for degenerate and singular parabolic system with nonlinear boundary condition. By using the comparison principle and constructing the self-similar super-solution and sub-solution, we obtain the critical global existence curve. The critical curve of Fujita type is conjectured with the aid of some new results. An interesting feature of our results is that the critical global existence curve and the critical Fujita curve are determined by a matrix and by the solution of a linear algebraic system, respectively.
Classification : 35K55, 35K65, 35B40 
@article{BMMS_2013_36_1_a21,
     author = {Yong-Sheng Mi and Chun-Lai Mu and Shou-Ming Zhou},
     title = {A {Degenerate} and {Singular} {Parabolic} {System} {Coupled} {Through} {Boundary} {Conditions}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a21/}
}
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Yong-Sheng Mi; Chun-Lai Mu; Shou-Ming Zhou. A Degenerate and Singular Parabolic System Coupled Through Boundary Conditions. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a21/