Dept. Math, Hokkaido Univ. EPrints Server

Global solutions to semirelativistic Hartree equations

Preprint Series # 813
Cho, Yonggeun and Ozawa, Tohru Global solutions to semirelativistic Hartree equations. (2006);

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Abstract

We consider initial value problems for the semirelativistic Hartree equations with cubic convolution nonlinearity $F(u) = (V * |u|^2)u$. Here $V$ is a sum of two Coulomb type potentials. Under a specified decay condition and a symmetric condition for the potential $V$ we show the global existence and scattering of solutions.

Item Type:Preprint
Additional Information:5
Uncontrolled Keywords:semirelativistic Hartree equations, global existence, scattering, Coulomb type potentials
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1635