Nontrivial compact blow-up sets of smaller dimension

We provide examples of solutions to parabolic problems with non- trivial blow-up sets of dimension strictly smaller than the space dimension. To this end we just consider different diffusion operators in different variables, for example, ut = (um)xx + uyy + u m or ut = (|ux|p-2u x)x + uyy + up-1.For...

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Publicado: 2008
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v136_n2_p593_PerezLlanos
http://hdl.handle.net/20.500.12110/paper_00029939_v136_n2_p593_PerezLlanos
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