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Uniqueness in cauchy's problem for elliptic equations with double characteristics

Uniqueness in cauchy's problem for elliptic equations with double characteristics

This paper is concerned with the question of local uniqueness of solutions of Cauchy's problem for elliptic partial differential equations with characteristics of multiplicity not greater than two. Let P(x,~) be a homogencous,mth degree elliptic polynomial in ~=(~1,~:2 ..... ~n) with complex coefficients of class C 2 in a closed …