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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 2, Pages 68–74
DOI: https://doi.org/10.4213/faa2903 (Mi faa2903) 		 
Sharp Conditions of Global Existence for the Quasilinear Schrödinger Equation

J. Zhang, J. Shu

Sichuan Normal University
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DOI: https://doi.org/10.4213/faa2903
Abstract: The paper discusses a class of quasilinear Schrödinger equations describing the upper-hybrid oscillation propagation. By establishing a cross-constrained variational problem and a so-called invariant flow, we obtain a sharp condition for blow-up and global existence of solutions of the Cauchy problem.
Keywords: quasilinear Schrödinger equation, blow-up, global existence, sharp condition.
Received: 07.12.2005
Revised: 23.12.2007
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 2, Pages 135–140
DOI: https://doi.org/10.1007/s10688-008-0019-1
Bibliographic databases:
Document Type: Article
UDC: 517.956+517.958
Language: Russian
Citation: J. Zhang, J. Shu, “Sharp Conditions of Global Existence for the Quasilinear Schrödinger Equation”, Funktsional. Anal. i Prilozhen., 42:2 (2008), 68–74; Funct. Anal. Appl., 42:2 (2008), 135–140
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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