EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS FOR THE SEMILINEAR COMPLEX GINZBURG-LANDAU TYPE EQUATION IN HOMOGENEOUS AND ISOTROPIC SPACETIME
Author:
Affiliation:
1. Faculty of Science Yamagata University
2. DNP Digital Solutions Co. Ltd.
Publisher
Faculty of Mathematics, Kyushu University
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/kyushujm/75/2/75_169/_pdf
Reference21 articles.
1. [1] C. Bu. On the Cauchy problem for the 1 + 2 complex Ginzburg-Landau equation. J. Aust. Math. Soc. Ser. B 36(3) (1995), 313-324.
2. [2] S. Carroll. Spacetime and Geometry. An Introduction to General Relativity. Addison Wesley, San Francisco, CA, 2004.
3. [3] T. Cazenave, J.-P. Dias and M. Figueira. Finite-time blowup for a complex Ginzburg-Landau equation with linear driving. J. Evol. Equ. 14(2) (2014), 403-415.
4. [4] T. Cazenave, F. Dickstein and F. B. Weissler. Finite-time blowup for a complex Ginzburg-Landau equation. SIAM J. Math. Anal. 45(1) (2013), 244-266.
5. [5] R. d'Inverno. Introducing Einstein's Relativity. Clarendon Press, New York, 1992.
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