High regularity of the solutions of the telegraph system subjected to nonlinear boundary conditions

Some high regularity results are established for the solution of the nonlinear initial-boundary value problem (IBVP) (1.1)–(1.4) below. Using the characteristics of the corresponding linear homogeneous telegraph system (i.e., system (1.1)–(1.2) with F = 0 , f = 0 , G = 0 , and g = 0 ), we transform...

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Bibliographic Details
Published in:Nonlinear analysis 2005-11, Vol.63 (4), p.491-512
Main Author: Apreutesei, N.
Format: Article
Language:English
Subjects:
[formula omitted]-semigroup of contractions
Characteristics
Exact sciences and technology
High regularity
Mathematical analysis
Mathematics
Maximal monotone operator
Partial differential equations
Sciences and techniques of general use
Telegraph system
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Summary:Some high regularity results are established for the solution of the nonlinear initial-boundary value problem (IBVP) (1.1)–(1.4) below. Using the characteristics of the corresponding linear homogeneous telegraph system (i.e., system (1.1)–(1.2) with F = 0 , f = 0 , G = 0 , and g = 0 ), we transform the original IBVP into a new one with linear homogeneous boundary conditions. This new equivalent problem is handled by using a semigroup approach as developed in [V.M. Hokkanen, G. Morosanu, Functional Methods in Differential Equations, Chapman & Hall/CRC, Boca Raton, FL, 2002].
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2005.04.008