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arXiv · 2101.03483

Critical exponents line, scattering thoeries for a weighted gradient system of semilinear Schrodinger equations

Xianfa Song
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Abstract

We establish the local wellposedness of different type of solutions the system with different types of initial data. We find there exists a critical exponents line in space dimension 3 and critical exponents point in space dimension 4. We also establish different scattering theories for the global solutions.

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Xianfa Song. 2021-01-10. Critical exponents line, scattering thoeries for a weighted gradient system of semilinear Schrodinger equations. https://arxiv.org/abs/2101.03483

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