Existence and regularity of global solutions nonlinear Hartree equations with Coulomb potentials and sublinear damping
In this article, we consider the nonlinear Hartree equation with a sublinear damping and a time-dependent Coulomb potential in $\mathbb{R}^3$. We first prove the existence of a global solution and then obtain the $\Sigma^2$-regularity.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/163/abstr.html |