Capacitary estimates of solutions of semilinear parabolic equations
classification
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keywords
equationssemilinearsolutionsabsorptionalmostebesselcapacitarycapacities
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We prove an almoste representation formula for positive solutions of semilinear heat equations with power-type absorption the initial trace of which is the indicatrix function of a compact set. The representations involves a Wiener test via Bessel capacities.
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