Initial boundary value problem for generalized Zakharov equations
Applications of Mathematics, Tome 57 (2012) no. 6, pp. 581-599
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This paper considers the existence and uniqueness of the solution to the initial boundary value problem for a class of generalized Zakharov equations in $(2+1)$ dimensions, and proves the global existence of the solution to the problem by a priori integral estimates and the Galerkin method.
DOI :
10.1007/s10492-012-0035-6
Classification :
35A01, 35A02, 35B65, 35L70, 35M33, 35Q40, 35Q55, 76X05
Keywords: global solutions; modified Zakharov equations; Galerkin method
Keywords: global solutions; modified Zakharov equations; Galerkin method
@article{10_1007_s10492_012_0035_6,
author = {You, Shujun and Guo, Boling and Ning, Xiaoqi},
title = {Initial boundary value problem for generalized {Zakharov} equations},
journal = {Applications of Mathematics},
pages = {581--599},
publisher = {mathdoc},
volume = {57},
number = {6},
year = {2012},
doi = {10.1007/s10492-012-0035-6},
mrnumber = {3010238},
zbl = {1274.35305},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0035-6/}
}
TY - JOUR AU - You, Shujun AU - Guo, Boling AU - Ning, Xiaoqi TI - Initial boundary value problem for generalized Zakharov equations JO - Applications of Mathematics PY - 2012 SP - 581 EP - 599 VL - 57 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0035-6/ DO - 10.1007/s10492-012-0035-6 LA - en ID - 10_1007_s10492_012_0035_6 ER -
%0 Journal Article %A You, Shujun %A Guo, Boling %A Ning, Xiaoqi %T Initial boundary value problem for generalized Zakharov equations %J Applications of Mathematics %D 2012 %P 581-599 %V 57 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0035-6/ %R 10.1007/s10492-012-0035-6 %G en %F 10_1007_s10492_012_0035_6
You, Shujun; Guo, Boling; Ning, Xiaoqi. Initial boundary value problem for generalized Zakharov equations. Applications of Mathematics, Tome 57 (2012) no. 6, pp. 581-599. doi: 10.1007/s10492-012-0035-6
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