TY - JOUR
T1 - Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations
AU - Langa, J. A.
AU - Robinson, J. C.
AU - Rodríguez-Bernal, A.
AU - Suárez, A.
AU - Vldal-López, A.
PY - 2007
Y1 - 2007
N2 - The goal of this work is to study the forward dynamics of positive solutions for the non-autonomous logistic equation ut -△u = λu - b(t)up, with p > 1, b(t) > 0, for all t ∈ ℝ limt_∞ b(t) -0. While the pullback asymptotic behaviour for this equation is now well understood, several different possibilities are realized in the forward asymptotic regime.
AB - The goal of this work is to study the forward dynamics of positive solutions for the non-autonomous logistic equation ut -△u = λu - b(t)up, with p > 1, b(t) > 0, for all t ∈ ℝ limt_∞ b(t) -0. While the pullback asymptotic behaviour for this equation is now well understood, several different possibilities are realized in the forward asymptotic regime.
KW - Non-autonomous reaction diffusion equations
KW - Unbounded forwards attractor
UR - http://www.scopus.com/inward/record.url?scp=34548681437&partnerID=8YFLogxK
U2 - 10.3934/dcds.2007.18.483
DO - 10.3934/dcds.2007.18.483
M3 - Article
AN - SCOPUS:34548681437
SN - 1078-0947
VL - 18
SP - 483
EP - 497
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
IS - 2-3
ER -