TY  - JOUR
ID  - Tahara2015
LB  - Tahara2015
AU  - Tahara, Hidetoshi
TI  - Analytic continuation of solutions of some nonlinear convolution partial differential equations
ST  - Analytic continuation of solutions of some nonlinear convolution partial differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 5
SP  - 739
EP  - 773
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.5.739
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.5.739
AB  - The paper considers a problem of analytic continuation of solutions of some nonlinear convolution partial differential equations which naturally appear in the summability 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.
KW  - convolution equations
KW  - partial differential equations
KW  - analytic continuation
KW  - summability
KW  - sector
SN  - 1232-9274
ER  -