SCATTERING FOR DEFOCUSING ENERGY SUBCRITICAL NONLINEAR WAVE EQUATIONS
Analysis and PDE, ISSN: 1948-206X, Vol: 13, Issue: 7, Page: 1995-2090
2020
- 9Citations
- 1Usage
- 4Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Citations9
- Citation Indexes9
- Usage1
- Abstract Views1
- Captures4
- Readers4
Article Description
We consider the Cauchy problem for the defocusing power-type nonlinear wave equation in .1 3/-dimensions for energy subcritical powers p in the superconformal range 3 < p < 5. We prove thatCany solution is global-in-time and scatters to free waves in both time directions as long as its critical Sobolev norm stays bounded on the maximal interval of existence.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85099515154&origin=inward; http://dx.doi.org/10.2140/apde.2020.13.1995; https://msp.org/apde/2020/13-7/p02.xhtml; https://msp.org/apde/2020/13-7/apde-v13-n7-p02-s.pdf; https://scholarsmine.mst.edu/math_stat_facwork/1070; https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=2123&context=math_stat_facwork; https://dx.doi.org/10.2140/apde.2020.13.1995
Mathematical Sciences Publishers
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