On the singularities of the solution to the Cauchy problem with singular data in the complex domain

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This paper is a subsequent one to the author's [8]. The primary objective here is to study the holomorphy of an integral over a certain relative cycle depending on parameters for applications to the study of the singularities of the solution to the Cauchy problem with singular data. Let a(x, 8) (x=(xo . . . . . x,)ell2 "+1) be a linear differential operator with holomorphic coefficients and the initial plane x0 =0 be non-characteristic. We consider the Cauchy problem near the origin of II; "+~ with singular data:

Journal

  • Mathematische Annalen

    Mathematische Annalen 269 (2), 217-234, 1984-06

    Springer Science and Business Media LLC

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