Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Marcelo J.D. Nascimento"'
Publikováno v:
Journal of Differential Equations. 365:521-559
Publikováno v:
Advances in Differential Equations. 28
Publikováno v:
Journal of Differential Equations. 332:50-82
Publikováno v:
idUS. Depósito de Investigación de la Universidad de Sevilla
instname
instname
In this paper we consider the nonautonomous semilinear parabolic problems with time-dependent linear operators ut + A(t)u = f (t, u), t > τ ; u(τ ) = u0, in a Banach space X. Under suitable conditions, we obtain regularity results for ut(t, x) with
Publikováno v:
Journal of Differential Equations. 298:30-67
In this paper we consider the semilinear damped wave problem of the form { ( α ( t ) u t ) t − β ( t ) Δ u + γ ( t ) u t + δ ( t ) u = β ( t ) f ( u ) , x ∈ Ω , t > τ , u ( x , t ) = 0 , x ∈ ∂ Ω , t ⩾ τ , u ( x , τ ) = u τ ( x )
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Publikováno v:
Pacific Journal of Mathematics. 301:395-419
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
The aim of this paper is to study the long-time dynamics of solutions of the evolution system \[ \begin{cases} u_{tt} - \Delta u + u + \eta(-\Delta)^{\frac{1}{2}}u_t + a_{\epsilon}(t)(-\Delta)^{\frac{1}{2}}v_t = f(u), & \; (x, t) \in \Omega \times (\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d6350e88d9c4435fa29b2cb26400e30
Publikováno v:
Journal of Mathematical Analysis and Applications. 506:125644
Our goal is to study fractional powers of a cascade system of partial differential equations. We explicitly calculate the fractional powers of linear operators associated to this type of system and we discuss local solvability of the fractional equat
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We consider the Dirichlet boundary problem for semilinear fractional Schrodinger equation with subcritical nonlinear term. Local and global in time solvability and regularity properties of solutions are discussed. But our main task is to describe the