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Schrödinger equation

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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

Schrödinger equation

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Assessment of the Influence of Losses on the Performance of the Electromagnetic Time Reversal Fault Location Method

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The role of the roughness spectral breadth in elastic contact of rough surfaces

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

A greedy non-intrusive reduced order model for fluid dynamics

Spectral methods for multiscale stochastic differential equations

Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

A priori error analysis of the finite element heterogeneous multiscale method for the wave equation in heterogeneous media over long time

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Optical wave evolution due to interaction with elastic wave in a phoxonic crystal slab waveguide