Document Zbl 0911.35062

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Transition from decay to blow-up in a parabolic system. (English) Zbl 0911.35062

Arch. Math., Brno 34, No. 1, 199-205 (1998).

The author proves boundedness of any nonnegative global trajectory of a system of parabolic equations in a bounded domain in \(\mathbb{R}^n\), \(n\leq 2\). The result implies global existence and boundedness of all trajectories starting on the boundary of the domain of attraction of the zero solution.

Reviewer: H.Petzeltová (Praha)

Cited in 4 Documents

MSC:

35K60	Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35B40	Asymptotic behavior of solutions to PDEs
35K50	Systems of parabolic equations, boundary value problems (MSC2000)

Keywords:

domain of attraction of the zero solution; global existence; a priori estimates

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