Analytic continuation of solutions of some nonlinear convolution partial differential equations

• Autorzy: Tahara H.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2015.35.5.739 Opuscula Mathematica Analytic continuation of solutions of some nonlinear convolution partial differential equations Hidetoshi Tahara

• Języki publikacji: EN

Abstrakty

EN

The paper considers a problem of analytic continuation of solutions of some nonlinear convolution partial differential equations which naturally appear in the summa-bility theory of formal solutions of nonlinear partial differential equations. Under a suitable assumption it is proved that any local holomorphic solution has an analytic extension to a certain sector and its extension has exponential growth when the variable goes to infinity in the sector.

Słowa kluczowe

EN

convolution equations; partial differential equations; analytic continuation; summability; sector

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 5
• Strony: 739--773
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Tahara H.

• Sophia University Department of Information and Communication Sciences Kioicho, Chiyoda-ku, Tokyo 102-8554, Japan

Bibliografia

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