Ludwig, Donald Uniform asymptotic expansion of the field scattered by a convex object at high frequencies. (English) Zbl 0154.12802 Commun. Pure Appl. Math. 20, 103-138 (1967). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 31 Documents Keywords:partial differential equations × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Babich, Doklady Akad. Nauk SSSR 146 (1962) [2] Buslaev, Akad. Nauk SSSR Trudy Math. Inst. Steklov 73 [3] Math., Fiz. 2 pp 14– (1964) [4] Asymptotic Expansions, Dover Publ., New York, 1965. · Zbl 0123.26001 [5] , , and , Tables of Integral Transforms, Vol. 2, McGraw-Hill, New York, 1954. [6] Diffraction, refraction and reflection of radio waves, Air Force Cambridge Research Center, translations, Bedford, Mass., 1957. [7] Grimshaw, Comm. Pure Appl. Math. 19 pp 167– (1966) [8] A geometrical theory of diffraction, Calculus of Variations and its Applications, Proc. Symp. Applied Math., Vol. 8, pp. 27–52, McGraw-Hill, New York, 1958. [9] Keller, J. Optical Soc. Amer. 52 pp 116– (1962) [10] Kravtsov, Radiofizika 7 pp 664– (1964) [11] Kravtsov, Radiofizika 7 pp 1049– (1964) [12] Lewis, Comm Pure Appl. Math. 20 (1967) [13] and , A mathematical model for diffraction by convex surfaces, Electro-magnetic Waves, edit. Univ. of Wisconsin Press, 1962. [14] Ludwig, Comm. Pure Appl. Math. 19 pp 215– (1966) [15] Ludwig, SIAM J. on Appl. Math. [16] Nussenzveig, Annals of Physics 34 pp 23– (1965) [17] Rubinow, J. Appl. Phys. 32 pp 814– (1961) [18] Zauderer, J. Math. Anal. Appl. (1967) [19] Brown, J. Math. Anal. 15 pp 355– (1966) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.