References
- Lord Rayleigh, On Waves, Ser. 5, Vol. 1, Philosophical Magazine, London, Dublin and Edinburg, 1876.
- Stoker , JJ . 1957 . Water Waves, The Mathematical Theory with Applications , New York : Interscience Publications .
- Lamb , H . 1945 . Hydrodynamics , New York : Dover Publications . Cambridge University Press, Cambridge, 1932
- Stoker , JJ . 1947 . Surface waves in water of variable depth . Quart. Appl. Math. , 5 : 1 – 54 .
- Friedrichs , KO and Lewy , H . 1948 . The dock problem . Comm. Pure Appl. Math. , 1 : 81 – 85 .
- Friedrichs , KO . 1948 . Water waves on a shallow sloping beach . Comm. Pure Appl. Math. , 1 : 109 – 134 .
- Peters , AS . 1952 . Water waves over sloping beaches and the solution of a mixed boundary value problem for Δφ − k 2φ = 0 in a sector . Comm. Pure Appl. Math. , 5 : 87 – 108 .
- Roseau , M . 1952 . Contribution à la Théorie des Ondes Liquides Gravité en Profondeur Variable, Vol. 275 , Paris : Publication Scientifique et Technique du Ministére de l'Air .
- Heins , AE . 1948 . Water waves over a channel of finite depth with a dock . Amer. J. Math. , 70 : 730 – 748 .
- Holford , RL . 1964 . Short surface waves in the presence of a finite dock . Proc. Camb. Phil. Soc. , 64 : 1109 – 1129 .
- Varley , E and Walker , JDA . 1989 . A method for solving singular integrodifferential equations . IMA J. Appl. Math. , 43 : 11 – 45 .
- Rahimizadeh , H . 1998 . The dock problem , PhD. Thesis, UCLA .
- Chakrabarti , A , Mandal , BN and Gayen , R . 2005 . The dock problem revisited . Int. J. Math. Math. Sci. , 21 : 3459 – 3470 .
- G.I. Eskin, Boundary value problems for pseudodifferential equations, in Translations of Mathematical Monographs, Vol. 52, American Mathematical Society, Providence, R.I., 1981.
- Eskin , GI . 1989 . Index formulas for elliptic boundary value problems in plane domains with corners . Trans. Amer. Math. Soc. , 314 ( 1 ) : 283 – 348 .
- Hörmander , L . 1965 . Pseudo-differential operators, Vol. 19 . Comm. Pure Appl. Math. , 19 : 507 – 517 .
- Shubin , MA . 1987 . Pseudodifferential Operators and Spectral Theory , New York : Springer .
- G.I. Eskin, Boundary-value problems for second-order elliptic equations in domains with corners, Proceedings of Symposia in Pure Mathematics, Vol. 43, American Mathematical Society, Providence, R.I., (1985), pp. 105–131.
- Zeidler , E . 1995 . Applied Functional Analysis, applications to mathematical physics , Vol. 108 , New York : Springer .