EXISTENCE AND EXPONENTIAL DECAY FOR A NONLINEAR LOVE EQUATION ASSOCIATED WITH MIXED HOMOGENEOUS CONDITIONS

Le Thi Phuong Ngoc, Nguyen Tuan Duy, Tran Minh Thuyet, Le Khanh Luan, Nguyen Anh Triet

Abstract


In this paper, a nonlinear Love equation with a mixed homogeneous condition is studied. The uniqueness and existence of a weak solution is proved with the help of an a priori estimate and the Galerkin method. Furthermore, a new result related exponential decay of a weak solution is also established.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)