The trace of Sobolev-Slobodeckij spaces on Lipschitz domains
From MaRDI portal
Publication:1084296
DOI10.1007/BF01169082zbMath0605.46024MaRDI QIDQ1084296
Publication date: 1987
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155210
Lipschitz domainsgeneral Besov spacesimage of the trace operatorkernel of the trace operatortrace theorems for Sobolev-Slobodeckij spaces
Related Items
The Lagrangian structure of the Vlasov-Poisson system in domains with specular reflection ⋮ Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains ⋮ Adaptive boundary element methods with convergence rates ⋮ Global strong solutions for a class of heterogeneous catalysis models ⋮ Schrödinger operators with δ- and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions ⋮ Stokes and Navier-Stokes equations subject to partial slip on uniform \(C^{2,1}\)-domains in \(L_q\)-spaces ⋮ Boundary properties of functions of the Sobolev space defined in a planar domain with angular points ⋮ Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients ⋮ Alternating proximal algorithms with asymptotically vanishing coupling. Application to domain decomposition for PDE's ⋮ Reconstruction of the derivative of the conductivity at the boundary ⋮ A sharp interface evolutionary model for shape memory alloys ⋮ On the Hölder regularity of all extrema in Hilbert's 19th problem ⋮ Weighted Sobolev estimates of the truncated Beurling operator ⋮ Minimax principles for mixed variational inequalities driven by uniformly monotone operators ⋮ Alternating proximal algorithms for linearly constrained variational inequalities: application to domain decomposition for PDE's ⋮ Interfacial polyconvex energy-enhanced evolutionary model for shape memory alloys ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Elliptic differential operators on Lipschitz domains and abstract boundary value problems ⋮ Well-posedness for a class of frictional contact models via mixed variational formulations ⋮ On trapping of surface water waves by cylindrical bodies in a channel ⋮ Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by \(d\)-sets ⋮ A bilinear strategy for Calderón's problem ⋮ Uniqueness in Calderón's problem for conductivities with unbounded gradient ⋮ The trace to the boundary of Sobolev spaces on a snowflake ⋮ Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii–Moriya interaction ⋮ Positivity for fourth-order semilinear problems related to the Kirchhoff-love functional ⋮ Asymptotic completeness and S-matrix for singular perturbations ⋮ Density results for Sobolev, Besov and Triebel-Lizorkin spaces on rough sets ⋮ On the role of lower bounds in characterizations of weak lower semicontinuity of multiple integrals ⋮ Short-time heat diffusion in compact domains with discontinuous transmission boundary conditions ⋮ On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2 ⋮ Quantitative homogenization of differential forms ⋮ Uniqueness in the Calderón problem and bilinear restriction estimates ⋮ Shell interactions for Dirac operators ⋮ Optimal Absorption of Acoustic Waves by a Boundary ⋮ Interpolation error estimates for harmonic coordinates on polytopes ⋮ Energy minimizers for an asymptotic MEMS model with heterogeneous dielectric properties ⋮ Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains ⋮ A projected subgradient-proximal method for split equality equilibrium problems of pseudomonotone bifunctions in Banach spaces ⋮ Traces on General Sets in ${R}^n$ for Functions with no Differentiability Requirements ⋮ Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries
Cites Work
