Thermal avalanche for blowup solutions of semilinear heat equations

We consider the semilinear heat equation ut = Δu + u p both in ℝN and in a bounded domain with homogeneous Dirichlet boundary conditions, with 1 < p < ps where ps is the Sobolev exponent. This problem has solutions with finite-time blowup; that is, for large enough initial data there e...

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Detalles Bibliográficos
Autores principales: Quirós, F., Rossi, J.D., Vázquez, J.L.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00103640_v57_n1_p0059_Quiros
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