1 citations · 1 across the 7 of their papers we have counts for
7 papers
Uniqueness of the solution of some nonlinear singular partial differential equations of the second order
Hidetoshi Tahara
In this paper, we consider a nonlinear Fuchsian type partial differential equation of the second order in the complex domain. Under a very weak assumption, we show the uniqueness o…
On a class of singular nonlinear first order partial differential equations
Hidetoshi Tahara
In this paper, we consider a class of singular nonlinear first order partial differential equations with $(t,x) \in \math…
Uniqueness of the solution of nonlinear singular first order partial differential equations
Hidetoshi Tahara
This paper deals with nonlinear singular partial differential equations of the form with independent variables $(t,x) \in \…
A note on -summability of formal solutions of some linear -difference-differential equations
Hidetoshi Tahara, Hiroshi Yamazawa
The paper discusses the summability of formal solutions of some linear q-difference-differential equations, and improves the previous result in [Tahara-Yamazawa, Opsucula Math. 35…
Maillet type theorem for nonlinear totally characteristic partial differential equations
Alberto Lastra, Hidetoshi Tahara
The paper discusses a holomorphic nonlinear singular partial differential equation under the assumpt…
On the summability of formal solutions of some linear q-difference-differential equations
Hidetoshi Tahara
The paper shows the summability of formal solutions of some linear q-difference-differential equations by using q-Laplace and q-Borel summation method.
Logarithmic singularities of solutions to nonlinear partial differential equations
Hidetoshi Tahara, Hideshi Yamane
We construct a family of singular solutions to some nonlinear partial differential equations which have resonances in the sense of a paper due to T. Kobayashi. The leading term of…