Publication

The Allen-Cahn equation with generic initial datum

Related publications (23)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Joachim Krieger, Roland Donninger

We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

is assumed to be smooth with asymptotic behavior

V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

2016

The Allen-Cahn equation with generic initial datum

Graph Chatbot

Chat with Graph Search

Directed mean curvature flow in noisy environment

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Instability of a thin viscous film flowing under an inclined substrate: steady patterns

Robustness via curvature regularization, and vice versa

Robustness via curvature regularization, and vice versa

Axially equilibrated displacement-based beam element for simulating the cyclic inelastic behaviour of RC members

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Isogeometric Analysis of geometric partial differential equations

A parametrical study on secondary flow in sharp open-channel bends: experiments and theoretical modelling

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

Instability of a thin viscous film flowing under an inclined substrate: steady patterns

Directed mean curvature flow in noisy environment

Axially equilibrated displacement-based beam element for simulating the cyclic inelastic behaviour of RC members

Robustness via curvature regularization, and vice versa

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Isogeometric Analysis of geometric partial differential equations

A parametrical study on secondary flow in sharp open-channel bends: experiments and theoretical modelling

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Robustness via curvature regularization, and vice versa