TY - JOUR
T1 - Global C1-solutions of time-dependent complex Ginzburg-Landau equations
AU - Unai, Akihito
PY - 2001/10/1
Y1 - 2001/10/1
N2 - A generalized Ginzburg-Landau equation was considered in the bounded domain and relating boundary value problems were discussed. It was shown that the equation was equivalent to an initial value problem of abstract evolution equations. It was proved that the equation had a unique global C1 solution under the exponent p ≥ 3. As opposed to Yang's theory, the exponent p could be made as large as possible by restricting the parameters λ,κ, α and β of the proposed equation.
AB - A generalized Ginzburg-Landau equation was considered in the bounded domain and relating boundary value problems were discussed. It was shown that the equation was equivalent to an initial value problem of abstract evolution equations. It was proved that the equation had a unique global C1 solution under the exponent p ≥ 3. As opposed to Yang's theory, the exponent p could be made as large as possible by restricting the parameters λ,κ, α and β of the proposed equation.
KW - Friedrichs mollifier
KW - Ginzburg-Landau equation
KW - Global C-solutions
KW - Nonlinear evolution equations
KW - Nonlinear semigroups
UR - http://www.scopus.com/inward/record.url?scp=0035479866&partnerID=8YFLogxK
U2 - 10.1016/S0362-546X(99)00435-6
DO - 10.1016/S0362-546X(99)00435-6
M3 - Article
AN - SCOPUS:0035479866
SN - 0362-546X
VL - 46
SP - 329
EP - 334
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 3
ER -