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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

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

Robustness via curvature regularization, and vice versa

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

Isogeometric Analysis of geometric partial differential equations

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

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