We study the boundary of unstable manifolds in parabolic partial differential equations of Sturm type. We show that the boundary naturally projects to a Schoenflies sphere. In particular this excludes complications like lens spaces, Reidemeister torsion, and nonmanifold boundaries.version 2 of October 11, 201
This article is a sequel, aimed at completing the characterization of the pathwise local structure o...
We investigate weakly coupled semilinear parabolic systems in unbounded domains in R2 or R3 with pol...
We study the numerical approximation of a coupled hyperbolic-parabolic system by a family of discont...
We systematically explore a simple class of global attractors, called Sturm due to nodal properties,...
Abstract. We investigate quasilinear systems of parabolic partial differential equations with fully ...
AbstractIn this paper we study one dimensional parabolic problems that arise from composite material...
The objective in these notes is to present an approach to dynamical systems in infinite dimensions. ...
In this paper we study the Arnold diffusion along a normally hyperbolic invariant manifold in a mode...
In this paper, we give a new construction of $u_0\in B^\sigma_{p,\infty}$ such that the correspondin...
AbstractWe show the existence of local Lipschitzian stable and unstable manifolds for the ill-posed ...
We begin with presentation of classification results in the theory of Hamiltonian PDEs with one spat...
AbstractDeng's lemma gives estimates on the behavior of solutions of ordinary differential equations...
In this paper we determine the exact structure of the pullback attractors in non-autonomous problems...
AbstractLet the equation x¨=f(t,x) be periodic in time, and let the equilibrium x∗≡0 be a periodic m...
We state and prove a Local Stable Manifold Theorem (Theorem 4.1) for non- linear stochastic differen...
This article is a sequel, aimed at completing the characterization of the pathwise local structure o...
We investigate weakly coupled semilinear parabolic systems in unbounded domains in R2 or R3 with pol...
We study the numerical approximation of a coupled hyperbolic-parabolic system by a family of discont...
We systematically explore a simple class of global attractors, called Sturm due to nodal properties,...
Abstract. We investigate quasilinear systems of parabolic partial differential equations with fully ...
AbstractIn this paper we study one dimensional parabolic problems that arise from composite material...
The objective in these notes is to present an approach to dynamical systems in infinite dimensions. ...
In this paper we study the Arnold diffusion along a normally hyperbolic invariant manifold in a mode...
In this paper, we give a new construction of $u_0\in B^\sigma_{p,\infty}$ such that the correspondin...
AbstractWe show the existence of local Lipschitzian stable and unstable manifolds for the ill-posed ...
We begin with presentation of classification results in the theory of Hamiltonian PDEs with one spat...
AbstractDeng's lemma gives estimates on the behavior of solutions of ordinary differential equations...
In this paper we determine the exact structure of the pullback attractors in non-autonomous problems...
AbstractLet the equation x¨=f(t,x) be periodic in time, and let the equilibrium x∗≡0 be a periodic m...
We state and prove a Local Stable Manifold Theorem (Theorem 4.1) for non- linear stochastic differen...
This article is a sequel, aimed at completing the characterization of the pathwise local structure o...
We investigate weakly coupled semilinear parabolic systems in unbounded domains in R2 or R3 with pol...
We study the numerical approximation of a coupled hyperbolic-parabolic system by a family of discont...
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