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Pozio, M. A.; Tesei, A.

On a class of nonlinear Neumann problems of parabolic type: Blow-up of solutions. (English) Zbl 0862.35049

Z. Anal. Anwend. 15, No. 4, 917-933 (1996).
Summary: We investigate large time behaviour of solutions for a class of nonlinear parabolic Neumann problems of indefinite type, possibly degenerate. Depending on the features of the problem, several parameters play a role to establish global boundedness or finite time blow-up of solutions. The occurrence of either situation is related with the existence of stationary solutions. Proofs make extensive use of monotonicity methods.

Cited in 3 Documents

MSC:

35K55 Nonlinear parabolic equations
35B40 Asymptotic behavior of solutions to PDEs
35K65 Degenerate parabolic equations

Keywords:

reaction terms of indefinite type; blow-up; existence and non-existence of stationary solutions
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References:

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