TY - JOUR
T1 - Higher-order nonlinear Schrödinger equations with singular data
AU - Hayashi, Nakao
AU - Naumkin, Pavel I.
AU - Ogawa, Takayoshi
N1 - Publisher Copyright:
© 2017, Springer International Publishing AG.
PY - 2018/3/1
Y1 - 2018/3/1
N2 - We consider the Cauchy problem for the higher-order nonlinear Schrödinger equation (Formula presented.), where k, p∈ N, k≥ 2 , λ∈ C. We prove local existence of solutions for the case of singular initial data u0(x) including the Dirac delta function.
AB - We consider the Cauchy problem for the higher-order nonlinear Schrödinger equation (Formula presented.), where k, p∈ N, k≥ 2 , λ∈ C. We prove local existence of solutions for the case of singular initial data u0(x) including the Dirac delta function.
KW - Higher-order nonlinear Schrödinger equation
KW - Local existence
KW - Weighted Sobolev space
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U2 - 10.1007/s00028-017-0400-8
DO - 10.1007/s00028-017-0400-8
M3 - Article
AN - SCOPUS:85020542635
SN - 1424-3199
VL - 18
SP - 263
EP - 276
JO - Journal of Evolution Equations
JF - Journal of Evolution Equations
IS - 1
ER -