Journal
MEDITERRANEAN JOURNAL OF MATHEMATICS
Volume 14, Issue 4, Pages -Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00009-017-0952-4
Keywords
modified Zakharov equations; quantum correction; time-periodic solution; a priori estimate; Galerkin method; Leray-Schauder fixed point theorem
Categories
Funding
- National Natural Science Foundation of China [11401122]
- Science and technology project of Qufu Normal University [xkj201607]
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This paper investigates the existence and uniqueness of time-periodic solutions of the periodic initial value problem for the modified Zakharov equations with a quantum correction. By combining a priori estimates with the Galerkin method and Leray-Schauder fixed point theorem, we prove that there exist a unique strong time-periodic solution and a unique classical time-periodic solution under some conditions on the forcing terms f and g.
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