January 2004 , Volume 55 , Issue 1, pp 28-31
Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory
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Abstract
We show the existence of monotone in time solutions for a semilinear parabolic equation with memory. The blow-up rate estimate of the solution is known to be a consequence of the monotonicity property.
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文摘
We show the existence of monotone in time solutions for a semilinear parabolic equation with memory. The blow-up rate estimate of the solution is known to be a consequence of the monotonicity property.