Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 488, Issue 2, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2020.124064
Keywords
Maxwell-gauged O(3) sigma model; Maxwell-Klein-Gordon; L-infinity bound; Growth-in-time of H-2 norm
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Funding
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [2017R1D1A1B03028308]
- National Research Foundation of Korea [2017R1D1A1B03028308] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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By making use of local energy conservation, we estimate the L-infinity norm of the first derivative of the solution to the Maxwell-gauged O(3) sigma model in R1+1. As an application of the bound, we obtain the growth of the H-2 norm of the solution. Quadratic polynomial growth is obtained by improving exponential growth. A similar idea can be applied to the Maxwell-Klein-Gordon equations in R1+1. (C) 2020 Elsevier Inc. All rights reserved.
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