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Dead-core rates for the heat equation with a spatially dependent strong absorption

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  • This work is to study the dead-core behavior for a semilinear heat equation with a spatially dependent strong absorption term. We first give a criterion on the initial data such that the dead-core occurs. Then we prove the temporal dead-core rate is non-self-similar. This is based on the standard limiting process with the uniqueness of the self-similar solutions in a certain class.
    Mathematics Subject Classification: Primary: 35K20, 35K55; Secondary: 35B40.


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