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A vector field method on the distorted Fourier side and decay for wave equations with potentials
The authors 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. They derive dispersive estimates, energy estimates,...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
American Mathematical Society
2016
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/2622902 |