Stabilization of the critical nonlinear Klein-Gordon equation with variable coefficients on R3

Simple item page
dc.contributor.authorFu, Song-Ren
dc.contributor.authorNing, Zhen-Hu
dc.date.accessioned2023-04-25T18:07:11Z
dc.date.available2023-04-25T18:07:11Z
dc.date.issued2022-08-05
dc.description.abstractWe prove the exponential stability of the defocusing critical semilinear wave equation with variable coefficients and locally distributed damping on R3. The construction of the variable coefficients is almost equivalent to the geometric control condition. We develop the traditional Morawetz estimates and the compactness-uniqueness arguments for the semilinear wave equation to prove the unique continuation result. The observability inequality and the exponential stability are obtained subsequently.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFu, S. R., & Ning, Z. H. (2022). Stabilization of the critical nonlinear Klein-Gordon equation with variable coefficients on R3. <i>Electronic Journal of Differential Equations, 2022</i>(59), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16649
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCritical semilinear wave equation
dc.subjectVariable coefficients
dc.subjectStability
dc.subjectMorawetz estimates
dc.subjectRiemannian geometry
dc.subjectUnique continuation
dc.titleStabilization of the critical nonlinear Klein-Gordon equation with variable coefficients on R3
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
fu.pdf
Size:
359.98 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