GLOBAL SOLUTIONS OF SEMIRELATIVISTIC HARTREE TYPE EQUATIONS

Title & Authors
GLOBAL SOLUTIONS OF SEMIRELATIVISTIC HARTREE TYPE EQUATIONS
Cho, Yong-Geun; Ozawa, Tohru;

Abstract
We consider initial value problems for the semirelativistic Hartree type equations with cubic convolution nonlinearity $\small{F(u)=(V*{\mid}u{\mid}^2)u}$. 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.
Keywords
semirelativistic Hartree type equations;global existence;scattering;Coulomb type potentials;
Language
English
Cited by
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Small data scattering for semi-relativistic equations with Hartree type nonlinearity, Journal of Differential Equations, 2015, 259, 10, 5510
2.
The Boson star equation with initial data of low regularity, Nonlinear Analysis: Theory, Methods & Applications, 2014, 97, 125
3.
Modified Scattering for the Boson Star Equation, Communications in Mathematical Physics, 2014, 332, 3, 1203
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