Abstract
Local properties of solutions of general elliptic differential equations: smoothness of solution, zeros of finite or infinite order and unique continuation of solutions, point singularities and removable singularities, expansions of solutions in asymptotic or convergent series, and branch points of solutions, were studied particularly intensively in the ′50s especially for differential equations having Hölder continuous coefficients. A convenient bibliography for these questions is presented in the survey of Bers [30] . The fundamental tool here was the “freezing” of coeficient s of the principal part of the differential equation at a singular point and the use of a parametrix with estimates thereof.
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© 1997 Springer Science+Business Media Dordrecht
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Tarkhanov, N.N. (1997). Laurent Series. In: The Analysis of Solutions of Elliptic Equations. Mathematics and Its Applications, vol 406. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8804-1_3
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DOI: https://doi.org/10.1007/978-94-015-8804-1_3
Publisher Name: Springer, Dordrecht
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