Trace theorems for Sobolev spaces on Lipschitz domains. Necessary conditions
From MaRDI portal
Publication:951999
DOI10.5802/ambp.232zbMath1161.46019OpenAlexW2317812488MaRDI QIDQ951999
Publication date: 5 November 2008
Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AMBP_2007__14_2_187_0
Related Items (14)
Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems ⋮ Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions ⋮ A space-time isogeometric method for the partial differential-algebraic system of Biot's poroelasticity model ⋮ Invertibility criteria for the biharmonic single-layer potential ⋮ Trace Operator's range characterization for Sobolev spaces on Lipschitz domains of \(\mathbb{R}^2\) ⋮ A Cahn-Hilliard model in a domain with non-permeable walls ⋮ Functional characterizations of trace spaces in Lipschitz domains ⋮ First-order shape derivative of the energy for elastic plates with rigid inclusions and interfacial cracks ⋮ The Maslov index and the spectra of second order elliptic operators ⋮ An \(L^p\)-DPG method for the convection-diffusion problem ⋮ On the explicit representation of the trace space \(H^{\frac{3}{2}}\) and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems ⋮ On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains ⋮ Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks ⋮ Approximation of the multi-dimensional Stokes system with embedded pressure discontinuities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
- On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
- On traces of functions in for Lipschitz domains in
- A proof of the trace theorem of Sobolev spaces on Lipschitz domains
- On the existence of the Airy function in Lipschitz domains. Application to the traces of H2
- On the traces of \(W^{2,p}(\Omega)\) for a Lipschitz domain
This page was built for publication: Trace theorems for Sobolev spaces on Lipschitz domains. Necessary conditions