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On the Bessel diamond and the nonlinear Bessel diamond operator related to the Bessel wave equation

✍ Scribed by Mehmet Zeki Sarıkaya; Hüseyin Yıldırım

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
262 KB
Volume
68
Category
Article
ISSN
0362-546X

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✍ D. Thi Thanh Binh; A. Pham Ngoc Dinh; N. Thanh Long 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 907 KB

we prove the existence and uniqueness of a weak solution of a semilinear wave equation involving Bessel's operator, the nonlinear term being in the form f(r, t, u, VU), while the boundary condition at r = 0 takes the weak form lim,,e+ j&%,(r, t)l < 03. In the proof, the Faedo-Galerkin method associa