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On the finite difference approximation for blow-up solutions of the porous medium equation with a source

✍ Scribed by Chien-Hong Cho

Book ID
119192138
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
1013 KB
Volume
65
Category
Article
ISSN
0168-9274

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In this paper, following the ideas of Lax, we prove a blow-up result for a class of solutions of the equation & -&x -&+xx -= 0, corresponding, in certain cases, to the development of a singularity in the second derivatives of 4. These solutions solve locally (in time) the Cauchy problem for smooth i