On k-summability of formal solutions for certain partial differential operators with polynomial coefficients

• Autorzy: Ichinobe K. , Miyake M.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2015.35.5.625

• Języki publikacji: EN

Abstrakty

EN

We study the k-summability of divergent formal solutions for the Cauchy problem of certain linear partial differential operators with coefficients which are polynomial in t. We employ the method of successive approximation in order to construct the formal solutions and to obtain the properties of analytic continuation of the solutions of convolution equations and their exponential growth estimates.

Słowa kluczowe

EN

k-summability; Cauchy problem; power series solutions; successive approximation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 5
• Strony: 625--653
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Ichinobe K.

• Department of Mathematics Education Aichi University of Education Japan

autor

Miyake M.

• Graduate School of Mathematics Nagoya University Japan

Bibliografia

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