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Local and Global Existence of Solution for Love Type Waves with Past History
- Source :
- Mathematics, Vol 8, Iss 11, p 1998 (2020)
- Publication Year :
- 2020
- Publisher :
- MDPI AG, 2020.
-
Abstract
- In this paper, we consider an initial boundary value problem for nonlinear Love equation with infinite memory. By combining the linearization method, the Faedo–Galerkin method, and the weak compactness method, the local existence and uniqueness of weak solution is proved. Using the potential well method, it is shown that the solution for a class of Love-equation exists globally under some conditions on the initial datum and kernel function.
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 11
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.614be5841942423686d348ef12e633ed
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math8111998