Equations of second order in time with quasilinear damping: existence in Orlicz spaces via convergence of a full discretisation

DOI10.1002/mma.3706zbMath1350.35133OpenAlexW2112059984MaRDI QIDQ5739229

Etienne Emmrich, David Šiška, Aneta Wróblewska-Kamińska

Publication date: 15 July 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://www.pure.ed.ac.uk/ws/files/21567244/Orlicz2ndOrder_EmSiWr_20_08_2015.pdf

zbMATH Keywords

backward Euler schemeanisotropic Orlicz spacenonpolynomial growthquasilinear damping term

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Pseudohyperbolic equations (35L82) Nonlinear evolution equations (47J35) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (3)

Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data ⋮ Convergence of a full discretization for a second-order nonlinear elastodynamic equation in isotropic and anisotropic Orlicz spaces ⋮ Numerical analysis of a nonlinear discrete duality finite volume scheme for Leray-Lions type elliptic problems in Orlicz spaces

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