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Lower and upper bounds for the blow up time for generalized heat equations with variable exponents. (English) Zbl 1490.35054

Summary: This paper deals with the initial-boundary value problem for generalized heat equations with variable exponent in a bounded domain. Under suitable conditions, we discuss the lower and upper bounds for the blow up time of solutions.

MSC:

35B44 Blow-up in context of PDEs
35K51 Initial-boundary value problems for second-order parabolic systems
35K92 Quasilinear parabolic equations with \(p\)-Laplacian

References:

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