Asymptotic expansions for elliptic-like regularizations of semilinear evolution equations

DOI10.1016/j.jde.2014.06.004zbMath1303.34043OpenAlexW2066408730MaRDI QIDQ399952

J. Herrera, H. S. Yoon

Publication date: 20 August 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.06.004

zbMATH Keywords

singular perturbationasymptotic expansionsemilinear evolution equationelliptic-like regularizationhigher regularity of solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Lions regularization of the telegraph system with nonlinear boundary conditions ⋮ Elliptic-like regularization of a fully nonlinear evolution inclusion and applications

Cites Work

• Elliptic-like regularization of semilinear evolution equations
• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Semigroups of linear operators and applications to partial differential equations
• Periodic forcing of solutions of a boundary value problem for a second- order differential equation in Hilbert space
• Singularly perturbed boundary-value problems.
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