Scattering for the focusing L2-supercritical and Ḣ2-subcritical biharmonic NLS equations

By Qing Guo. 2015

52 citations recorded by the source corpus.

ABSTRACT We consider the focusing Ḣsc-critical biharmonic Schrödinger equation, and prove a global wellposedness and scattering result for the radial data u0 ∈ H2(ℝN) satisfying and where sc ∈ (0, 2) and Q is the ground state of Δ2Q + (2 − sc)Q − |Q|p−1Q = 0.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/eaeb7c30a71a14bab1eb0b99e26311b14196bc2b

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In Applied Mathematics

1. Shihui Zhu
2. Qing Guo

In Mathematical Physics

1. Shihui Zhu
2. Qing Guo

In Statistical and Nonlinear Physics

1. Shihui Zhu
2. Qing Guo

Citations in the corpus

• Sharp threshold of blow-up and scattering for the fractional Hartree equation (2017, background): “The proof of the linear profile decomposition could simply follow the proof in [15] without any significant changes.”