Existence, regularity and positivity of ground states for nonlocal nonlinear Schrodinger equations

Simple item page
dc.contributor.authorZhang, Yong-Chao
dc.date.accessioned2021-12-10T20:32:20Z
dc.date.available2021-12-10T20:32:20Z
dc.date.issued2019-11-26
dc.description.abstractWe study ground states of a nonlinear Schrödinger equation driven by the infinitesimal generator of a rotationally invariant Levy process. The equation includes many special cases such as classical Schrodinger equations, fractional Schrödinger equations and relativistic Schrödinger equations, etc. It is proved that the equation possesses ground states in a suitable space of functions, then the regularity of solutions to the equation is examined, in particular, any solution is Hölder continuous, and, if the process involves diffusion terms, any solution is twice differentiable further. Finally, we show that any ground state is either positive or negative.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhang, Y. C. (2019). Existence, regularity and positivity of ground states for nonlocal nonlinear Schrodinger equations. <i>Electronic Journal of Differential Equations, 2019</i>(128), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15041
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNonlocal Schrödinger equation
dc.subjectGround state
dc.subjectInfinitesimal generator
dc.subjectRotationally invariant Levy process
dc.titleExistence, regularity and positivity of ground states for nonlocal nonlinear Schrodinger equations
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
zhang.pdf
Size:
332.14 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations