On dimKer and dimCoker for an Elliptic Operator with Discontinuous Coefficients

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Abstract


For divergence form of elliptic operator with discontinuous piecewise smooth coefficients we analyzed questions of the uniqueness and the existence of generalized solutions for BVP with the divergent right-hand part from the class with first derivatives from in a bounded plain domains with smooth and nonsmooth borders. We calculate dimKer and dimCoker for an elliptic operator for all indices depending on parameters of critical points.

About the authors

A A Dudkina

Peoples' Friendship University of Russia

Кафедра дифференциальных уравнений и математической физики; Российский университет дружбы народов; Peoples' Friendship University of Russia

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Copyright (c) 2008 Дудкина А.А.

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