Maillet type theorem for singular first order nonlinear partial differential equations of totally characteristic type. Part II

In this paper, we study the following nonlinear first order partial differential equation: \[f(t,x,u,\partial_t u,\partial_x u)=0\quad\text{with}\quad u(0,x)\equiv 0.\] The purpose of this paper is to determine the estimate of Gevrey order under the condition that the equation is singular of a total...

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Bibliographic Details
Main Author: Akira Shirai
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2015-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3537.pdf