Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory
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- Souplet, P. Z. angew. Math. Phys. (2004) 55: 28. doi:10.1007/s00033-003-1158-0
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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.
Mathematics Subject Classification (2000):35K60 35B40 35R10
Keywords.Nonlocal parabolic equation nonlinear memory blow-up rate monotonicity
© Birkhäuser-Verlag 2004