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REMARKS ON THE SEMIRELATIVISTIC HARTREE EQUATIONS SCIE SCOPUS
- Title
- REMARKS ON THE SEMIRELATIVISTIC HARTREE EQUATIONS
- Date Issued
- 2009-04
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- Abstract
- We study the global well-posedness (GWP) and small data scattering of radial solutions of the semirelativistic Hartree type equations with nonlocal nonlinearity F(u) = lambda(vertical bar u vertical bar(-gamma) * vertical bar u vertical bar(2)) u, lambda epsilon R \ {0}, 0 < gamma < n, n >= 3. We establish a weighted L-2 Strichartz estimate applicable to non-radial functions and some fractional integral estimates for radial functions.
- Keywords
- semirelativistic Hartree type equations; global well-posedness; scattering; radial solutions; NONLINEAR SCHRODINGER-EQUATIONS; CUBIC CONVOLUTION NONLINEARITY; SMALL DATA SCATTERING; GLOBAL-SOLUTIONS; WELL-POSEDNESS; BOSON STARS; WAVE
- ISSN
- 1078-0947
- Article Type
- Article
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, vol. 23, no. 4, page. 1277 - 1294, 2009-04
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Related Researcher
- 심영선SHIM, YONG SUN
- Dept of Mathematics