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O. Costin, R.D. Costin. On the formation of singularities of solutions of nonlinear di erential systems in antistokes directions. Invent. math (2001)

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Existence and Uniqueness of Solutions of Nonlinear Evolution.. - Costin, Tanveer (2001)   Self-citation (Costin)   (Correct)

....6.2 Simple illustrations of regularization by Borel summation (i) A vast literature has emerged recently in the field of Borel summation starting with the fundamental contributions of Ecalle, see e.g. 8] and it is impossible to give a quick account of the breadth of this field. See for example [6] for more references. Yet, in the context of relatively general PDEs, very little is known. In this section we discuss informally and using admittedly rather trivial examples, the regularizing power of Borel summation techniques. ii) Singular perturbations give rise to nonanalytic behavior and ....

O. Costin, R. D. Costin, On the formation of singularities of solutions of nonlinear di#erential systems in antistokes directions (to appear in Inventiones Mathematicae).


Prepublications du Departement de Mathematiques - Avenue Michel Cr   (Correct)

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O. Costin, R.D. Costin. On the formation of singularities of solutions of nonlinear di erential systems in antistokes directions. Invent. math (2001)

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