Article
Existence and nonexistence of unbounded forward attractor for a class of non-autonomous reaction diffusion equations
Author/s | Langa Rosado, José Antonio
![]() ![]() ![]() ![]() ![]() ![]() ![]() Robinson, James C. Rodríguez Bernal, Aníbal Suárez Fernández, Antonio ![]() ![]() ![]() ![]() ![]() ![]() ![]() Vidal López, Alejandro |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2007 |
Deposit Date | 2016-04-20 |
Published in |
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Abstract | The goal of this work is to study the forward dynamics of positive solutions for the nonautonomous 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 ... The goal of this work is to study the forward dynamics of positive solutions for the nonautonomous 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 realised in the forward asymptotic regime. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | BFM 2003-03810
![]() MTM2005-01412 ![]() BFM 2003-06446 ![]() |
Citation | Langa Rosado, J.A., Robinson, J.C., Rodríguez Bernal, A., Suárez Fernández, A. y Vidal López, A. (2007). Existence and nonexistence of unbounded forward attractor for a class of non-autonomous reaction diffusion equations. |
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