Analytic solutions of a class of nonlinear partial differential equations

Analytic solutions of a class of nonlinear partial differential equations

We study a class of nonlinear partial differential equations, which can be connected with wave-type equations and Laplace-type equations, by using a functional-analytic technique. We establish primarily the existence and uniqueness of bounded solutions in the two-dimensional Hardy-Lebesque space...

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Bibliographic Details
Main Author: Eugenia N. Petropoulou
Format: Article
Language:English
Published: Texas State University 2015-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Analytic solution
series solution
bounded solution
wave-type PDE
Laplace-type PDE
PDE with mixed derivatives
sine-Gordon
Klein-Gordon
Online Access:http://ejde.math.txstate.edu/Volumes/2015/201/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2015/201/abstr.html

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