Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation

Author:

Hidano Kunio,Wang Chengbo

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,General Mathematics

Reference46 articles.

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2. Bellazzini, J., Georgiev, V., Visciglia, N.: Long time dynamics for semirelativistic NLS and half wave in arbitrary dimension. Math. Ann. 371(1–2), 707–740 (2018)

3. Bergh, J., Löfström, J.: Interpolation Spaces: An Introduction. Springer, Berlin (1976). Grundlehren der Mathematischen Wissenschaften, No. 223

4. Choffrut, A., Pocovnicu, O.: Ill-posedness of the cubic nonlinear half-wave equation and other fractional NLS on the real line. Int. Math. Res. Not. IMRN 2018(3), 699–738 (2018)

5. Christ, M., Colliander, J., Tao, T.: Ill-posedness for nonlinear Schrodinger and wave equations. Preprint, arXiv:math.AP/0311048

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