20 citations · 112 across the 42 of their papers we have counts for
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On Oscillations of Solutions of the Fourth-Order Thin Film Equation Near Heteroclinic Bifurcation Point
Victor A. Galaktionov
It is shown that solutions of the Cauchy for the fourth-order thin film equation becomes non-oscillatory and non-sign-changing precisely at and above the heteroclinic bifurcation p…
Steady states, global existence and blow-up for fourth-order semilinear parabolic equations of Cahn--Hilliard type
Pablo Alvarez-Caudevilla, Victor A. Galaktionov
Fourth-order semilinear parabolic equations of the Cahn--Hilliard-type (01) u_t + \D^2 u = \g u \pm \D (|u|^{p-1}u) in Ω\times \re_+, are considered in a smooth bounded domain $Ø\s…
Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches
Pablo Alvarez-Caudevilla, Victor A. Galaktionov
This paper is devoted to some aspects of well-posedness of the Cauchy problem for a quasilinear degenerate fourth-order parabolic thin film equation u_{t} = -\nabla \cdot(|u|^{n} \…
The p-Laplace equation in domains with multiple crack section via pencil operators
Pablo Alvarez-Caudevilla, Victor A. Galaktionov
The p-Laplace equation $$ \n \cdot (|\n u|^n \n u)=0 \whereA n>0, $$ in a bounded domain $Ø\subset \re^2$, with inhomogeneous Dirichlet conditions on the smooth boundary $\p Ø$ is…
Blow-up scaling and global behaviour of solutions of the bi-Laplace equation via pencil operators
Pablo Alvarez-Caudevilla, Victor A. Galaktionov
As the main problem, the bi-Laplace equation in a bounded domain $Ω\subset \re^2$, with inhomogeneous Dirichlet or Navier-type conditions on the smooth bou…