Energy criteria of global existence for a class of Hartree equations with Coulomb potential
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Published:2023-03-30
Issue:1
Volume:4
Page:61-78
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ISSN:2563-1926
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Container-title:Mathematics in Applied Sciences and Engineering
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language:
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Short-container-title:Math Appl Sci Eng
Author:
Tang Na,Zhang Jian
Abstract
This paper studies a class of Hartree equations with Coulomb potential. Combined with the conservation of mass and energy, we analyze the variational characteristics of the corresponding nonlinear elliptic equation. According to the range of parameters, we construct the evolution invariant flows of the equation in different cases. Then the sharp energy thresholds for global existence and blow-up of solutions are discussed in detail.
Publisher
University of Western Ontario, Western Libraries