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Focusing nonlinear Hartree equation with inverse‐square potential.
- Source :
- Mathematische Nachrichten; Dec2020, Vol. 293 Issue 12, p2271-2298, 28p
- Publication Year :
- 2020
-
Abstract
- In this paper, we consider the scattering theory of the radial solution to focusing energy‐subcritical Hartree equation with inverse‐square potential in the energy space H1(Rd) using the method from [4]. The main difficulties are due to the fact that the equation is not space‐translation invariant and that the nonlinearity is non‐local. Using the radial Sobolev embedding and a virial‐Morawetz type estimate we can exclude the concentration of mass near the origin. Besides, we can overcome the weak dispersive estimate when a<0, using the dispersive estimate established by [23]. [ABSTRACT FROM AUTHOR]
- Subjects :
- NONLINEAR equations
INVERSE scattering transform
POTENTIAL energy
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 0025584X
- Volume :
- 293
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Mathematische Nachrichten
- Publication Type :
- Academic Journal
- Accession number :
- 147461458
- Full Text :
- https://doi.org/10.1002/mana.201900331