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Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

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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

Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

Graph Chatbot

Chattez avec Graph Search

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Discreteness of interior transmission eigenvalues revisited

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

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

Undecidability through Fourier series

A sparse reconstruction framework for Fourier-based plane wave imaging

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

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Divergence-Free Wavelet Frames

Propagation of the Lower Hybrid wave in a density fluctuating SOL

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Divergence-Free Wavelet Frames

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Undecidability through Fourier series

A sparse reconstruction framework for Fourier-based plane wave imaging

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

Discreteness of interior transmission eigenvalues revisited

Propagation of the Lower Hybrid wave in a density fluctuating SOL

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