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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

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Graph Chatbot

Chattez avec Graph Search

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Extinction In Lower Hessenberg Branching Processes With Countably Many Types

Structure preserving model reduction of parametric Hamiltonian systems

Bioluminescence for Assessing Drug Potency against Nonreplicating Mycobacterium tuberculosis

Proximity results and faster algorithms for Integer Programming using the Steinitz Lemma

Motion Vector Estimation of Textureless Objects Exploiting Reaction-Diffusion Cellular Automata

Non-Abelian band topology in noninteracting metals

Vector-Based 3D Graphic Statics (Part II): Construction of Force Diagrams

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

Scalable Production of AAV Vectors in Orbitally Shaken HEK293 Cells