Stability of nonlinear Schrödinger equations on modulation spaces

Weichao GUO; Jiecheng CHEN

doi:10.1007/s11464-014-0346-x

Front. Math. China ›› 2014, Vol. 9 ›› Issue (2) : 275 -301. DOI: 10.1007/s11464-014-0346-x

RESEARCH ARTICLE

Stability of nonlinear Schrödinger equations on modulation spaces

Weichao GUO ¹^,^*
, Jiecheng CHEN ²

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Abstract

We consider the Cauchy problem for a family of Schrödinger equations with initial data in modulation spaces $M p, 1 s$ . We develop the existence, uniqueness, blowup criterion, stability of regularity, scattering theory, and stability theory.

Keywords

Schrödinger equation / blow-up rate / scattering / stability theory / stability of regularity / modulation space

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Weichao GUO, Jiecheng CHEN. Stability of nonlinear Schrödinger equations on modulation spaces. Front. Math. China, 2014, 9(2): 275-301 DOI:10.1007/s11464-014-0346-x

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