Proceedings of the Japan Academy Series A Mathematical Sciences · 1981 · 19 citations · 2 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsFinite Element AnalysisExistence TheoryInitial Value ProblemsOperator TheoryPartial Differential EquationsSchrödinger EquationWeak Formulation
1. Introduction. We are concerned with the following evolution equation defined for (x, t) e R x R (1.1) L(u)=iOu+ , O(aj(x)Ou)-F , bj(x)3u+c(x)u= f(x, t), j, with initial data Uo(X)e L2(Rn) at t=0, where 3=0/3x and a(x) are real-valued and bounded with all their derivatives with a(x)=a(x).
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