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Díaz Díaz, Jesús Ildefonso ; Casal, Alfonso C. ; Vegas Montaner, José Manuel | Dynamic Publishers, Inc. | 2009Blow-up phenomena are analyzed for both the delay-differential equation (DDE) u'(t) = B'(t)u(t - tau), and the associated parabolic PDE (PDDE) partial derivative(t)u=Delta u+B'(t)u(t-tau,x), where B : [0, tau] -> R is a positive L(1) function w[...]texto impreso
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Díaz Díaz, Jesús Ildefonso ; Casal, A.C. ; Vegas Montaner, José Manuel | Pergamon-Elsevier Science | 2009-12-15We give sufficient conditions to have the finite extinction for all solutions of linear parabolic reaction-diffusion equations of the type partial derivative u/partial derivative t - Lambda u = -M(t)u(t - tau, x) (1) with a delay term tau > 0, [...]texto impreso
Casal, Alfonso C. ; Díaz Díaz, Jesús Ildefonso ; Stich, Michael ; Vegas Montaner, José Manuel | Springer | 2011We consider the complex Ginzburg-Landau equation with feedback control given by some delayed linear terms (possibly dependent of the past spatial average of the solution). We prove several bifurcation results by using the delay as parameter. We [...]
