Abstract
We are concerned with the existence and uniqueness of the \textit{classical} solution to IBVP for a nonlinear equation of a suspended string with uniform density to which a monotonous nonlinear time-independent outer force works. For this purpose we derive the higher order energy estimates, and employ the Galerkin method combining with the compactness argument along the refined method of [Sath]. We need the regularity theory of Nirenberg type for the suspended string operator $L$.
Citation
Jaipong WONGSAWASDI. Masaru YAMAGUCHI. "Global Classical Solutions of IBVP to Nonlinear Equation of a Suspended String." Tokyo J. Math. 31 (2) 351 - 373, December 2008. https://doi.org/10.3836/tjm/1233844058
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