![](/images/graphics-bg.png)
Global Existence of Strong Solutions to a Class of Fully Nonlinear Wave Equations with Strongly Damped Terms
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-12
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider the global existence of strong solution u, corresponding to a class of fully nonlinear wave equations with strongly damped terms utt-kΔut=f(x,Δu)+g(x,u,Du,D2u) in a bounded and smooth domain Ω in Rn, where f(x,Δu) is a given monotone in Δu nonlinearity satisfying some dissipativity and growth restrictions and g(x,u,Du,D2u) is in a sense subordinated to f(x,Δu).
By using spatial sequence techniques, the Galerkin approximation method, and some monotonicity arguments, we obtained the global existence of a solution u∈Lloc∞((0,∞),W2,p(Ω)∩W01,p(Ω)).
American Psychological Association (APA)
Pan, Zhigang& Luo, Hong& Ma, Tian. 2012. Global Existence of Strong Solutions to a Class of Fully Nonlinear Wave Equations with Strongly Damped Terms. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993712
Modern Language Association (MLA)
Pan, Zhigang…[et al.]. Global Existence of Strong Solutions to a Class of Fully Nonlinear Wave Equations with Strongly Damped Terms. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-993712
American Medical Association (AMA)
Pan, Zhigang& Luo, Hong& Ma, Tian. Global Existence of Strong Solutions to a Class of Fully Nonlinear Wave Equations with Strongly Damped Terms. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993712
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993712