Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Laurent series expansion for solutions of hypoelliptic equations

100%

Langenbruch M.

Annales Polonici Mathematici

2002

tom 78

nr 3

277-289

We prove that any zero solution of a hypoelliptic partial differential operator can be expanded in a generalized Laurent series near a point singularity if and only if the operator is semielliptic. Moreover, the coefficients may be calculated by means of a Cauchy integral type formula. In particular, we obtain explicit expansions for the solutions of the heat equation near a point singularity. To prove the necessity of semiellipticity, we additionally assume that the index of hypoellipticity with respect to some variable is 1.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Langenbruch M.

1 2002

Wyniki wyszukiwania

Laurent series expansion for solutions of hypoelliptic equations