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I. Naumkin

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Open access Sep 2026

Fractional Klein–Gordon equations in orthants: well-posedness and scattering

We study the initial–boundary value problem for a fractional nonlinear Klein–Gordon equation posed on the hyperoctant Dn,n⩾2 with nonhomogeneous boundary data on each coordinate hyperplane. The equation involves a spatial fractional Laplacian of Caputo type with order β∈(3/2,2), which induces strong nonlocal dissipatio...

I. Naumkin · 0 citations

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