Geodesic
Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a source
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 438-448 Cet article a éte moissonné depuis la source Math-Net.Ru

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Accurate (best possible) upper estimates are obtained for the amplitude and length of support of unbounded solutions of the quasilinear degenerate parabolic equation of non-linear heat conduction with a source. The estimates are established by means of a special “comparison by intersections” technique with an exact non-invariant solution of the equation with the same existence time. This comparison, moreover, illustrates the fact that the Cauchy problem for the equation with a delta-function as the initial datum is solvable. 
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     title = {Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a~source},
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V. A. Galaktionov. Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a source. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 438-448. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a8/

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