Capacitary estimates of solutions of semilinear parabolic equations

Details Capacitary estimates of solutions of semilinear parabolic equations Capacitary estimates of solutions of semilinear parabolic equations

2007-09-26

arxiv.org/abs/0709.4106v1

Mathematics

Analysis of PDEs

46 pages

Scientific paper

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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