no. 4
Stability of the inverse problem in potential scattering at fixed energy
Annales de l'Institut Fourier, Tome 40 (1990) no. 4, pp. 867-884

We prove an estimate of the kind ∥q 1 -q 2 ∥ L ∞ ≤Cφ(∥A q 1 -A q 2 ∥ R,3/2-1/2 ), where A q i (ω,θ), i=1,2 is the scattering amplitude related to the compactly supported potential q i (x) at a fixed energy level k= const., φ(t)=(-lnt) -δ , 0<δ<1 and ∥·∥ R,3/2-1/2 is a suitably defined norm.

Nous prouvons une estimation du type ∥q 1 -q 2 ∥ L ∞ ≤Cφ(∥A q 1 -A q 2 ∥ R,3/2-1/2 ), où A q i (ω,θ), i=1,2 est l’amplitude de “scattering” relative au potentiel à support compact q i (x) à un niveau d’énergie fixée k= const., où φ(t)=(-lnt) -δ , 0<δ<1 et ∥·∥ R,3/2-1/2 est une norme définie.

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     author = {Stefanov, Plamen},
     title = {Stability of the inverse problem in potential scattering at fixed energy},
     journal = {Annales de l'Institut Fourier},
     pages = {867--884},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {40},
     number = {4},
     year = {1990},
     doi = {10.5802/aif.1239},
     zbl = {0715.35082},
     mrnumber = {92d:35217},
     language = {en},
     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1239/}
}
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Stefanov, Plamen. Stability of the inverse problem in potential scattering at fixed energy. Annales de l'Institut Fourier, Tome 40 (1990) no. 4, pp. 867-884. doi: 10.5802/aif.1239

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