Global Classical Solutions of IBVP to Nonlinear Equation of a Suspended String
Jaipong WONGSAWASDI and Masaru YAMAGUCHI
Source: Tokyo J. of Math.
Volume 31, Number 2
(2008), 351-373.
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 $L$.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tjm/1233844058
Digital Object Identifier: doi:10.3836/tjm/1233844058
Mathematical Reviews number (MathSciNet):
MR2477878
Zentralblatt MATH identifier:
05545418
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