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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 1. CAS DU GROUPE D'HEISENBERG 1.1. N o t a t i o n s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 1.2. D i f f u s i o n a s s o c i 6 e a u l a p l a c i e n de K o h n e t 6 q u a t i o n d e l a c h a l e u r . . . . . . . . . 98 1.3. S o l u t i o n s f o n d a m e n t a l e d e A• . . . . . . . . . . . . . . . . . . . . . . . 101 1.4. S i n g u l a r i t 6 s p o u r r h y p o e l l i p t i c i t ~ . . . . . . . . . . . . . . . . . . . . . . 102

Principe de moindre action, propagation de la chaleur et estimees sous elliptiques sur certains groupes nilpotents