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The Cauchy problem in the singular solution of (p, q)-quasi-ordinary PDEs

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

Using techniques from resolution of singularities, we show the existence of solutions for the Cauchy problem in the singular solution of a family of (p, q)-quasi-ordinary analytic PDEs.

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Authors and Affiliations

  1. Department of Mathematics, University of Oviedo, Oviedo, Spain

    Pedro Fortuny Ayuso

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  1. Pedro Fortuny Ayuso
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Correspondence to Pedro Fortuny Ayuso.

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Dedicated to Professor Heisuke Hironaka on the occasion of his 80th birthday

Partially supported by DGICYT PB91-0195. The author wishes to thank IMPA (Rio de Janeiro) for a stay in which this work was ended.

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Fortuny Ayuso, P. The Cauchy problem in the singular solution of (p, q)-quasi-ordinary PDEs. RACSAM 107, 61–67 (2013). https://doi.org/10.1007/s13398-012-0084-4

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  • DOI: https://doi.org/10.1007/s13398-012-0084-4

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