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Critical exponent for wave equation with potential

Georgiev, Vladimir
•
Heiming, Charlotte
•
Kubo, Hideo
2000
  • Controlled Vocabulary...

Abstract
We establish a weighted L$^{\infty}$ estimate for the solution of the linear wave equation with a smooth positive potential depending only on space variables. This estimate is similar to F.John's estimates in $\left(\left[9\right]\right)$ and enables one to prove existence of global small data solution for the corresponding semilinear wave equation with potential.
Archivio
http://hdl.handle.net/10077/4279
Diritti
open access
Soggetti
  • Wave equation

  • decay estimates

  • global solution

  • wave equation with po...

  • semilinear equation

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