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The Allen-Cahn equation with generic initial datum

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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

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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

Directed mean curvature flow in noisy environment

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

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

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

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