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Convergence estimates of Galerkin-wavelet solutions to a Cauchy problem for a class of periodic pseudodifferential equations
Author(s):
Nguyen
Minh
Chuong;
Bui
Kien
Cuong
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3589-3597.
MSC (2000):
Primary 35A40, 65D05, 65M06, 65M12, 65M15
Posted:
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:
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
Posted:
July 22, 2004
Communicated by:
David R. Larson
Copyright of article:
Copyright
2004,
American Mathematical Society
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