References
Amick, C. J. & Toland, J. F., Uniqueness of Benjamin's solitary wave solution of the Benjamin-Ono equation,J. Inst. Math. Anal. Appl. To appear.
Amick, C. J., On the theory of internal waves of permanent form in fluids of great depth. In preparation.
Benjamin, T. B., Internal waves of permanent form in fluids of great depth.J. Fluid Mech., 29 (1967), 559–592.
Davis, R. E. &Acrivos, A., Solitary internal waves in deep water.J. Fluid Mech., 29 (1967), 593–607.
Ono, H., Algebraic solitary waves in stratified fluids.J. Phys. Soc. Japan, 39 (1975), 1082–1091.
Protter, M. H. &Weinberger, H. F.,Maximum Principles in Differential Equations. Prentice-Hall, Englewood-Cliffs, 1967.
Stein, E. M.,Singular Integrals and Differentiability Properties of Functions. Princeton University Press, New Jersey, 1970.
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Professor C. J. Amick was supported in part by the National Science Foundation, U.S.A.
R.I.P. June 3, 1991.
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Amick, C.J., Toland, J.F. Uniqueness and related analytic properties for the Benjamin-Ono equation —a nonlinear Neumann problem in the plane. Acta Math. 167, 107–126 (1991). https://doi.org/10.1007/BF02392447
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DOI: https://doi.org/10.1007/BF02392447