Semielliptic singularities
Josef Král (1984)
Časopis pro pěstování matematiky
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Displaying similar documents to “Regularity of potentials and removability of singularities of solutions of partial differential equations”
Semielliptic singularities
Laurent series expansion for solutions of hypoelliptic equations
M. Langenbruch (2002)
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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...
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