Inverse Scattering for Critical Semilinear Wave Equations

Ant\^onio S\'a Barreto; Gunther Uhlmann; Yiran Wang

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Inverse Scattering for Critical Semilinear Wave Equations

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arxiv 2003.03822 v1 pith:4RURNO3H submitted 2020-03-08 math.AP

Inverse Scattering for Critical Semilinear Wave Equations

Ant\^onio S\'a Barreto , Gunther Uhlmann , Yiran Wang This is my paper

classification math.AP

keywords criticalequationsscatteringsemilinearwavec-infinitydefocusingdetermines

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We show that the scattering operator for defocusing energy critical semilinear wave equations \square u+f(u)=0, with f C-infinity and f ~ u^5, in three space dimensions, determines f.

Inverse Scattering for Critical Semilinear Wave Equations

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