The blow-up phenomenon for degenerate parabolic equations with variable coefficients and nonlinear source

The Cauchy problem for a degenerate parabolic equation with a source and variable coefficient of the form ∂ u ∂ t = d i v ( ρ ( x ) u m − 1 | D u | λ − 1 D u ) + u p is studied. Global in time existence and nonexistence conditions are found for a solution to the Cauchy problem. Exact estimates of a...

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Veröffentlicht in:	Nonlinear analysis 2010-10, Vol.73 (7), p.2310-2323
Hauptverfasser:	Cianci, P., Martynenko, A.V., Tedeev, A.F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Blow-up solution Cauchy problem Degenerate parabolic equation Estimates Exact sciences and technology Existence and nonexistence theorems Mathematical analysis Mathematics Nonlinearity Partial differential equations Sciences and techniques of general use Source term Variable coefficients
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