Klein-Gordon-Schrodinger耦合方程解的全局存在性和渐近性

Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-12-20 DOI:10.1360/YA1995-38-12-1444

B. Guo, C. Miao

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引用次数: 11

摘要

研究了经典耦合Klein-Gordon-Schrodinger方程的终值问题。这导致对某些分散数据构造修正波算符Ω。当初始函数属于表示Ω值域的(Ω)时，证明了耦合Klein-Gordon-Schrodinger方程Cauchy问题解的整体存在性和渐近性。

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Global existence and asymptotic behavior of solutions for the coupled Klein-Gordon-Schrodinger equations

The final value problem for the classical coupled Klein-Gordon-Schrodinger equations is studied in . This leads to the construction of the modified wave operator Ω, for certain scattered data. When initial functions belong to (Ω) which denotes the range domain of Ω, the global existence and asymptotic behavior of solutions of Cauchy problem tor the coupled Klein-Gordon-Schrodinger equations are proved.

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Science in China Series A-Mathematics, Physics, Astronomy & Technological Science

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