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

Date

2018-09-11

Authors

Zhao, Yanjun
Feng, Binhua

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we consider the nonlinear Hartree equation with a sublinear damping and a time-dependent Coulomb potential in ℝ3. We first prove the existence of a global solution and then obtain the ∑2-regularity.

Description

Keywords

Nonlinear Hartree equation, Coulomb potential, Sublinear damping

Citation

Zhao, Y., & Feng, B. (2018). Existence and regularity of global solutions nonlinear Hartree equations with Coulomb potentials and sublinear damping. <i>Electronic Journal of Differential Equations, 2018</i>(163), pp. 1-15.

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Attribution 4.0 International

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