Fixed-point Theorem and the Nishida-Nirenberg Method in Solving Certain Nonlinear Singular Partial Differential Equations

In their 2012 work, Lope, Roque, and Tahara considered singular nonlinear partial differential equations of the form tut = F(t; x; u; ux), where the function F is assumed to be continuous in t and holomorphic in the other variables. They have shown that under some growth conditions on the coefficien...

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Bibliographic Details
Main Authors: Jose Ernie C. Lope, Randy L. Caga-anan
Format: Article
Language:English
Published: University of the Philippines 2013-12-01
Series:Science Diliman
Subjects:
Online Access:http://www.journals.upd.edu.ph/index.php/sciencediliman/article/view/4038/3667