Abstract. The aim of this paper is to study the finite space blow up of the solutions for a class of fourth order differential equations. Our results answer a conjecture in [F. Gazzola and R. Pavani. Wide oscillation finite time blow up for solutions to nonlinear fourth order differential equations. Arch. Ration. Mech. Anal., 207(2):717–752, 2013] and they have implications on the nonexistence of beam oscillation given by traveling wave profile at low speed propagation. 1
. Precise estimates for the validity of the amplitude approximation for the Swift-Hohenberg equation...
We exhibit $\mathcal C^{\infty}$ type II blow up solutions to the focusing energy critical wave equa...
This paper corrects Asakura's observation on semilinear wave equations with non-compactly supported ...
The aim of this paper is to study the finite space blow up of the solutions for a class of fourth or...
We give sufficient conditions for local solutions to some fourth order semilinear ordinary different...
We discuss some nonlinear fourth order differential equations which describe oscillations in suspens...
In this paper we consider the nonlinear dispersive wave equation on the real line, $u_t-u_{txx}+[f(u...
The complex Swift-Hohenberg equation models pattern formation arising from an oscillatory instabilit...
In this work, we consider a class of initial boundary value problems for fourth-order dispersive wav...
It is well known that the nontrivial solutions of the equation u⁗(r)+κu″(r)+f(u(r))=0u⁗(r)+κu″(r)+f...
Equações diferenciais de quarta ordem aparecem naturalmente na modelagem de oscilações de estruturas...
AbstractThis paper concerns the blow-up of solutions to utt−Δu=|u|p in high dimensions for n⩾4 and 1...
International audienceWe revisit the finite time blow-up for the fourth-order Schrödinger equation w...
The problem of the Swift-Hohenberg equation is considered in this paper. Using homotopy analysis met...
(Communicated by Grozdena Todorova) Abstract. This paper corrects Asakura's observation on semi...
. Precise estimates for the validity of the amplitude approximation for the Swift-Hohenberg equation...
We exhibit $\mathcal C^{\infty}$ type II blow up solutions to the focusing energy critical wave equa...
This paper corrects Asakura's observation on semilinear wave equations with non-compactly supported ...
The aim of this paper is to study the finite space blow up of the solutions for a class of fourth or...
We give sufficient conditions for local solutions to some fourth order semilinear ordinary different...
We discuss some nonlinear fourth order differential equations which describe oscillations in suspens...
In this paper we consider the nonlinear dispersive wave equation on the real line, $u_t-u_{txx}+[f(u...
The complex Swift-Hohenberg equation models pattern formation arising from an oscillatory instabilit...
In this work, we consider a class of initial boundary value problems for fourth-order dispersive wav...
It is well known that the nontrivial solutions of the equation u⁗(r)+κu″(r)+f(u(r))=0u⁗(r)+κu″(r)+f...
Equações diferenciais de quarta ordem aparecem naturalmente na modelagem de oscilações de estruturas...
AbstractThis paper concerns the blow-up of solutions to utt−Δu=|u|p in high dimensions for n⩾4 and 1...
International audienceWe revisit the finite time blow-up for the fourth-order Schrödinger equation w...
The problem of the Swift-Hohenberg equation is considered in this paper. Using homotopy analysis met...
(Communicated by Grozdena Todorova) Abstract. This paper corrects Asakura's observation on semi...
. Precise estimates for the validity of the amplitude approximation for the Swift-Hohenberg equation...
We exhibit $\mathcal C^{\infty}$ type II blow up solutions to the focusing energy critical wave equa...
This paper corrects Asakura's observation on semilinear wave equations with non-compactly supported ...