Autor:	Barbosa da Silva, M., Cavalcanti, V. N. Domingos, Tavares, E. H. Gomes, Tavares, T. Saito
Předmět:	EXPONENTIAL stability MEMORY EQUATIONS LANGEVIN equations SEMILINEAR elliptic equations
Zdroj:	Applied Mathematics & Optimization; Aug2024, Vol. 90 Issue 1, p1-25, 25p
Abstrakt:	We are concerned with a third order in time equation in the presence of viscoelastic effects given by the memory term and with a semi linear source term, posed on a bounded domain Ω ⊂ R 3 . Considering three different types of memory in the past history framework, we prove the well-posedness of its solutions as well as the exponential stability of the energy functional. Relaxing some hypotheses on the memory kernel, we improve and extend the results established in the existing literature. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink