Nonlinear Equations of Infinite Order Defined by an Elliptic Symbol
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The aim of this work is to show existence and regularity properties of equations of the form f(Δ)u=U(x,u(x)) on ℝn, in which f is a measurable function that satisfies some conditions of ellipticity and Δ stands for the Laplace operator on ℝn.
Here, we define the class of functions to which f belongs and the Hilbert space in which we will find the solution to this equation.
We also give the formal definition of f(Δ) explaining how to understand this operator.
American Psychological Association (APA)
Bravo Vera, Mauricio. 2014. Nonlinear Equations of Infinite Order Defined by an Elliptic Symbol. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-488756
Modern Language Association (MLA)
Bravo Vera, Mauricio. Nonlinear Equations of Infinite Order Defined by an Elliptic Symbol. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-488756
American Medical Association (AMA)
Bravo Vera, Mauricio. Nonlinear Equations of Infinite Order Defined by an Elliptic Symbol. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-488756
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488756