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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Convergence estimates of Galerkin-wavelet solutions to a Cauchy problem for a class of periodic pseudodifferential equations


Authors: Nguyen Minh Chuong and Bui Kien Cuong
Journal: Proc. Amer. Math. Soc. 132 (2004), 3589-3597
MSC (2000): Primary 35A40, 65D05, 65M06, 65M12, 65M15
Published electronically: July 22, 2004
MathSciNet review: 2084081
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Abstract: A class of Cauchy problems for interesting complicated periodic pseudodifferential equations is considered. By the Galerkin-wavelet method and with weak solutions one can find sufficient conditions to establish convergence estimates of weak Galerkin-wavelet solutions to a Cauchy problem for this class of equations.


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Additional Information

Nguyen Minh Chuong
Affiliation: Hanoi Institute of Mathematics, P.O. Box 631 Bo Ho, 10 000 Hanoi, Vietnam
Email: nmchuong@math.ac.vn

Bui Kien Cuong
Affiliation: Hanoi Institute of Mathematics, P.O. Box 631 Bo Ho, 10 000 Hanoi, Vietnam

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07434-9
PII: S 0002-9939(04)07434-9
Keywords: Convergence estimates, weak Galerkin-wavelet solution, Cauchy problem, periodic pseudodifferential equations.
Received by editor(s): November 15, 2001
Received by editor(s) in revised form: June 20, 2003
Published electronically: July 22, 2004
Communicated by: David R. Larson
Article copyright: © Copyright 2004 American Mathematical Society