Compact families of piecewise constant functions in \(L^p (0,T;B)\)
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Publication:765236
DOI10.1016/j.na.2011.12.004zbMath1245.46017OpenAlexW1487310864MaRDI QIDQ765236
Publication date: 19 March 2012
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.2011.12.004
Theoretical approximation in context of PDEs (35A35) Compactness in Banach (or normed) spaces (46B50)
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Cites Work
- Unnamed Item
- Unnamed Item
- Doubly nonlinear evolution equations of second order: existence and fully discrete approximation
- Compact sets in the space \(L^ p(0,T;B)\)
- Compactness of discrete approximate solutions to parabolic PDEs -- application to a turbulence model
- Time Compactness Tools for Discretized Evolution Equations and Applications to Degenerate Parabolic PDEs
- Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
- Nonlinear partial differential equations with applications
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