Existence and regularity of global solutions nonlinear Hartree equations with Coulomb potentials and sublinear damping

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.

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Veröffentlicht in:Electronic journal of differential equations 2018-09, Vol.2018 (163), p.1-15
Hauptverfasser: Yanjun Zhao, Binhua Feng
Format: Artikel
Sprache:eng
Schlagworte:
Coulomb potential
Nonlinear Hartree equation
sublinear damping
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Zusammenfassung: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.
ISSN:1072-6691