We give a global bilateral estimate on the maximal solution of in , , , which vanishes at on the complement of a closed subset . This estimate is expressed by a Wiener test involving the Bessel capacity . We deduce from this estimate that is σ-moderate in Dynkin's sense.
Nous donnons une estimation bilatérale précise de la solution maximale de dans , , , qui s'annulle en sur le complémentaire d'un sous-ensemble fermé . Cette estimation s'exprime par un test de Wiener impliquant la capacité de Bessel . Nous déduisons de cette estimation que est σ-moderée au sens de Dynkin.
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Moshe Marcus 1; Laurent Véron 2
@article{CRMATH_2006__342_9_655_0, author = {Moshe Marcus and Laurent V\'eron}, title = {Capacitary representation of positive solutions of semilinear parabolic equations}, journal = {Comptes Rendus. Math\'ematique}, pages = {655--660}, publisher = {Elsevier}, volume = {342}, number = {9}, year = {2006}, doi = {10.1016/j.crma.2006.02.033}, language = {en}, }
TY - JOUR AU - Moshe Marcus AU - Laurent Véron TI - Capacitary representation of positive solutions of semilinear parabolic equations JO - Comptes Rendus. Mathématique PY - 2006 SP - 655 EP - 660 VL - 342 IS - 9 PB - Elsevier DO - 10.1016/j.crma.2006.02.033 LA - en ID - CRMATH_2006__342_9_655_0 ER -
Moshe Marcus; Laurent Véron. Capacitary representation of positive solutions of semilinear parabolic equations. Comptes Rendus. Mathématique, Volume 342 (2006) no. 9, pp. 655-660. doi : 10.1016/j.crma.2006.02.033. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.02.033/
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