Abstract
We consider the Cauchy problem for a quadratic system of Schrödinger equations in space dimensions n≥4 without mass resonance condition. Analytic smoothing effect for the quadratic system of Schrödinger equations under the mass resonance condition for data which satisfy exponentially decaying condition has been studied in [14]. In this study, we construct global solutions in the analytic Hardy space via the phase modulation operator, based on the scale critical Sobolev space H˙n/2−2 with data like the test functions of Fourier hyperfunctions, under the condition m1≤m2≤(1+4/n)m1 between two masses m1 and m2.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
