Geodesic
Blow-up of solutions for a system of nonlinear parabolic equations
Electronic journal of differential equations, Tome 2013 (2013)
The initial boundary value problem for a system of parabolic equations in a bounded domain is considered. We prove that, under suitable conditions on the nonlinearity and certain initial data, the lower bound for the blow-up time is determined if blow-up does occur. In addition, a criterion for blow-up to occur and conditions which ensure that blow-up does not occur are established.
Classification : 35K55, 35K60
Keywords: blow-up, lower bound of blow-up time, parabolic problem 
@article{EJDE_2013__2013__a163,
     author = {Wu,  Shun-Tang},
     title = {Blow-up of solutions for a system of nonlinear parabolic equations},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1288.35124},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a163/}
}
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%A Wu,  Shun-Tang
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%J Electronic journal of differential equations
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%F EJDE_2013__2013__a163
Wu,  Shun-Tang. Blow-up of solutions for a system of nonlinear parabolic equations. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a163/