L²-data Dirichlet problem for weighted form Laplacians
We solve the L²-data Dirichlet boundary problem for a weighted form Laplacian in the unit Euclidean ball. The solution is given explicitly as a sum of four series.
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La méthode de Fourier pour des équations abstraites
Vasile Gradinaru (1996)
Annales mathématiques Blaise Pascal
Laurent series expansion for solutions of hypoelliptic equations
M. Langenbruch (2002)
Annales Polonici Mathematici
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...
Le problème de Cauchy ramifié linéaire pour des données à singularités algébriques
Eric Leichtnam (1991/1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
Le problème de Cauchy ramifié linéaire pour des données à singularités algébriques
Éric Leichtnam (1993)
Mémoires de la Société Mathématique de France
Liouville theorem for Dunkl polyharmonic functions.
Ren, Guangbin, Liu, Liang (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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