Blow-up profiles of solutions for the exponential reaction-diffusion equation
نویسنده
چکیده
We consider the blow-up of solutions for a semilinear reaction diffusion equation with exponential reaction term. It is know that certain solutions that can be continued beyond the blow-up time possess a nonconstant selfsimilar blow-up profile. Our aim is to find the final time blow-up profile for such solutions. The proof is based on general ideas using semigroup estimates. The same approach works also for the power nonlinearity.
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Some comments concerning the blow-up of solutions of the exponential reaction-diffusion equation
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