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On fundamental solutions to fractional heat equations with a divergence free drift term

Lundi, 16 Mai, 2011 - 15:30
Prénom de l'orateur : 
Yasunori
Nom de l'orateur : 
Maekawa
Résumé : 

In this talk we discuss the fractional heat equations in the presence of a divergence free drift term. Under suitable regularity conditions which reflect a scaling property, we prove the existence of the associated fundamental solutions satisfying the space-time decay and continuity estimates. This is a joint work with Hideyuki Miura (Osaka University, Japan).

Institution de l'orateur : 
Kyushu University
Thème de recherche : 
Physique mathématique
Salle : 
1 tour Irma
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