| 周毓麟,符鸿源.一类广义Schr?dinger型非线性高阶方程组[J].数学研究及应用,1983,3(3):73~80 |
| 一类广义Schr?dinger型非线性高阶方程组 |
| A Class of Generalized Nonlinear Schr?dinger Systems of Higher Order |
| 投稿时间：1981-10-10 |
| DOI：10.3770/j.issn:1000-341X.1983.03.018 |
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| 英文摘要: |
| In this paper we consider a class of semilinear systems of partial differential equations of higher order A(t)u1+(-1)MuxZM=f(u), which contain a class of the nonlinear Schr?dinger equations, where the matrix A(t) is nonsingular, nonnegative definite and f(u) satisfy the conditions (i) f(u) = -grad F(u), F(u)≥0(ii) (g(u),u)≤α(u,u) + b, g = A－1f. The existence, uniqueness and regularity of solutions for periodic boundary problems and Cauchy problems in global are proved. |
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