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Initial boundary value problem for a class of wave equations of Hartree type.
- Source :
-
Studies in Applied Mathematics . Oct2022, Vol. 149 Issue 3, p798-814. 17p. - Publication Year :
- 2022
-
Abstract
- In this paper, we consider a class of wave equations of Hartree type on a bounded smooth convex domain with Dirichlet boundary condition. By applying the standard semigroup theory, we get the local existence result. Using potential well theory, we derive the condition of global existence of weak solutions. With the help of potential well theory and convexity method, we give blowup results for solutions when the initial energy is nonnegative or negative. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222526
- Volume :
- 149
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Studies in Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 159609194
- Full Text :
- https://doi.org/10.1111/sapm.12521