| Full text | |
| Author(s): |
Bezerra, Flank D. M.
;
Carvalho, Alexandre N.
;
Santos, Lucas A.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF EVOLUTION EQUATIONS; v. 22, n. 2, p. 18-pg., 2022-06-01. |
| Abstract | |
In this paper, we discuss the well-posed ness of the Cauchy problem associated with the third-order evolution equation in time u(ttt) + Au + eta A(1/3)u(tt) + eta A(2/3) u(t) = f(u) where n > 0, X is a separable Hilbert space, A : D(A) subset of X -> X is an unbounded sectorial operator with compact resolvent, and for some lambda(0) > 0 we have Re sigma (A) > lambda(0) and f : D(A(1/3)) subset of X -> X is a nonlinear function with suitable conditions of growth and regularity. (AU) | |
| FAPESP's process: | 03/10042-0 - Nonlinear dynamical systems and applications |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | PRONEX Research - Thematic Grants |