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Regularity and convergent result of mild solution of Love equation.
- Source :
- Discrete & Continuous Dynamical Systems - Series S; Mar2024, Vol. 17 Issue 3, p1-17, 17p
- Publication Year :
- 2024
-
Abstract
- In this paper, we are interested to study a mild solution of the Love equation. This type of equation has many applications in physics. Under various assumptions of the Cauchy data, we obtain the regularity of the mild solution. We also obtain the continuity of the mild solution concerning the parameter. We show that the mild solution of the Love equation converges to the mild solution of the wave equation. Our work may be the first paper on the mild solution of the Love equation. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
HILBERT space
Subjects
Details
- Language :
- English
- ISSN :
- 19371632
- Volume :
- 17
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Discrete & Continuous Dynamical Systems - Series S
- Publication Type :
- Academic Journal
- Accession number :
- 176273409
- Full Text :
- https://doi.org/10.3934/dcdss.2023159