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A periodic problem for the inhomogeneous equation of string oscillations

✍ Scribed by Yu. A. Mitropol’skii; G. P. Khoma; P. V. Tsynaiko

Publisher
Springer
Year
1997
Tongue
English
Weight
346 KB
Volume
49
Category
Article
ISSN
0041-5995

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A Periodic Knitting Problem for the Helm
A Periodic Knitting Problem for the Helmholtz Equation
✍ Georgi V. Smirnov 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 329 KB

We study a diffraction of a plane wave incident to a periodic surface separating two dielectric materials with different real dielectric coefficients. Existence and uniqueness of solution to a periodic knitting problem for the Helmholtz equation is proved. Moreover we prove that the solution can be