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Regularity and convergent result of mild solution of Love equation.

Authors :
Bui, Duc Nam
Nghia, Bui Dai
Phuong, Nguyen Duc
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

Subjects :
EQUATIONS
HILBERT space

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