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Linear recursive schemes associated with the nonlinear wave equation involving Bessel's operator

✍ Scribed by D. Thi Thanh Binh; A. Pham Ngoc Dinh; N. Thanh Long

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 907 KB
Volume: 34
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(01)00082-6

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✦ Synopsis

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 associated with a linear recursive scheme in appropriate Sobolev spaces with weight is used.

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