A singularly perturbed Cauchy problem

DOI10.1016/0022-247X(79)90228-2zbMath0415.35007MaRDI QIDQ599997

George C. Hsiao, Richard J. Weinacht

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

energy estimatessingular perturbationsinitial value problemasymptotic expansionsvibrating stringcharacteristicssecond order hyperbolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45)

Related Items (7)

The asymptotic interrelation of the Cauchy problem solutions corresponding to parabolic and telegraph type equations ⋮ Optimality conditions and duality results for non-differentiable interval optimization problems ⋮ Singular perturbation and boundary layer for an abstract Cauchy problem ⋮ Nondifferentiable symmetric and self duality in fractional programming. ⋮ Numerical solution of the singularly perturbed problem for the hyperbolic equation with initial jump ⋮ Constrained \(\epsilon\)-vector valued games and generalized multi-valued \(\epsilon\)-minmax, \(\epsilon\)-maxmin programming. ⋮ Minmax programming problems with \(L_ p\)-norms via nonsmooth \(V\)-invexity.

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