Elliptic regularization for the semi-linear telegraph system

DOI10.1016/J.NA.2009.11.044zbMath1188.35013OpenAlexW2042670633MaRDI QIDQ847355

Behzad Djafari Rouhani, Narcisia C. Apreutesei

Publication date: 12 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.044

zbMATH Keywords

maximal monotone operatorsasymptotic expansionsmonotone operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (2)

Lions regularization of the telegraph system with nonlinear boundary conditions ⋮ Elliptic-like regularization of semilinear evolution equations and applications to some hyperbolic problems

Cites Work

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• Nonlinear boundary value problems for some ordinary and partial differential equations associated with monotone operators
• Asymptotic behavior of bounded solutions to a class of second order nonhomogeneous evolution equations
• Some remarks on the asymptotic behaviour of the solutions of second order evolution equations
• An incomplete Cauchy problem
• Periodic forcing of solutions of a boundary value problem for a second- order differential equation in Hilbert space
• Singularly perturbed boundary-value problems.
• Positive solutions of singular three-point boundary value problems for second-order differential equations
• Asymptotic behaviour of some second order evolution equations
• The Vishik–Lyusternik method in elliptic problems with a small parameter

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