Low Regularity Theories of Zakharov System

Boling Guo (), Zaihui Gan, Linghai Kong and Jingjun Zhang
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Boling Guo: Institute of Applied Physics and Computational Mathematics
Zaihui Gan: Tianjin University, Center for Applied Mathematics
Linghai Kong: Institute of Applied Physics and Computational Mathematics
Jingjun Zhang: Jiaxing University, College of Mathematics, Physics and Information Engineering

Chapter Chapter 4 in The Zakharov System and its Soliton Solutions, 2016, pp 217-291 from Springer

Abstract: Abstract In the last two decades, low regularity theory has certainly been one of the fastest growing areas for the study of dispersive equation(s) owing to the application of modern analysis tools in partial differential equations. In this theory, we are asked for whether the equation possesses a unique solution or at least a local solution, which continuously depends on the given initial data belonging to some spaces with lower regularity.

Keywords: Nonlinear Term; Schwarz Inequality; Strichartz Estimate; Zakharov Equation; Zakharov System (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-981-10-2582-2_4

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