Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-08
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
This paper is focused on the error estimates for solutions of the three-dimensional semilinear parabolic equation with initial data u0∈L2(ℝ3).
Employing the energy methods and Fourier analysis technique, it is proved that the error between the solution of the semilinear parabolic equation and that of linear heat equation has the behavior as O((1+t)−3/8).
American Psychological Association (APA)
Hu, Xiaomei. 2014. Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014108
Modern Language Association (MLA)
Hu, Xiaomei. Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014108
American Medical Association (AMA)
Hu, Xiaomei. Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014108
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014108