We prove the existence of an initial trace of a positive solution of diffusion equations with a nonlinear reaction term in the class of outer regular Borel measures. We study the reverse problem of characterising a solution from its initial trace.

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Initial Trace of Positive Solutions of Some Diffusion Equations with Absorption

  • Laurent Véron

摘要

We prove the existence of an initial trace of a positive solution of diffusion equations with a nonlinear reaction term in the class of outer regular Borel measures. We study the reverse problem of characterising a solution from its initial trace.