TY - JOUR
T1 - Well-posedness in energy space for the periodic modified Benjamin-Ono equation
AU - Guo, Zihua
AU - Lin, Yiquan
AU - Molinet, Luc
PY - 2014
Y1 - 2014
N2 - We prove that the periodic modified Benjamin-Ono equation is locally well-posed in the energy space H1/2. This ensures the global well-posedness in the defocusing case. The proof is based on an Xs,b analysis of the system after a gauge transform.
AB - We prove that the periodic modified Benjamin-Ono equation is locally well-posed in the energy space H1/2. This ensures the global well-posedness in the defocusing case. The proof is based on an Xs,b analysis of the system after a gauge transform.
UR - http://www.sciencedirect.com/science/article/pii/S0022039614000400/pdfft?md5=789898ed8ec71b6494592b409539990e&pid=1-s2.0-S0022039614000400-main.pdf
U2 - 10.1016/j.jde.2014.01.022
DO - 10.1016/j.jde.2014.01.022
M3 - Article
VL - 256
SP - 2778
EP - 2806
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 8
ER -