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Finite time blow-up for the inhomogeneous equation |
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| Authors: | Ross G. Pinsky |
| Affiliation: | Department of Mathematics, Technion-Israel Institute of Technology, Haifa, 32000, Israel |
| Abstract: | We consider the inhomogeneous equation
where |
| Keywords: | Finite time blow-up semilinear reaction-diffusion equations critical exponent |
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, 
and 
, and give criteria on 
, and 
which determine whether for all 
and all 
the solution blows up in finite time or whether for 
and 
sufficiently small, the solution exists for all time.