Shorter Notes: Regularity of the Distance Function
From MaRDI portal
Publication:3310519
DOI10.2307/2045171zbMath0528.53005OpenAlexW2055705334MaRDI QIDQ3310519
Publication date: 1984
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2045171
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differentiable mappings in differential topology (57R35) Differentiable maps on manifolds (58C25)
Related Items
On the moving plane method for singular solutions to semilinear elliptic equations ⋮ Stationary solutions to a compressible non-Newtonian fluid with general boundary conditions ⋮ A new parameter free partially penalized immersed finite element and the optimal convergence analysis ⋮ Quantum confinement on non-complete Riemannian manifolds ⋮ A minimising movement scheme for the \(p\)-elastic energy of curves ⋮ On the extremal function of the modulus of a foliation ⋮ Regularity results for solutions to the \(c\)-Plateau problem with free boundary having small singular set, and generally in codimension zero ⋮ Partial regularity for holonomic minimisers of quasiconvex functionals ⋮ Compensated Convexity, Multiscale Medial Axis Maps and Sharp Regularity of the Squared-Distance Function ⋮ The singular perturbation problem for a class of generalized logistic equations under non-classical mixed boundary conditions ⋮ On the mass of static metrics with positive cosmological constant: I ⋮ Euler system with a polytropic equation of state as a vanishing viscosity limit ⋮ Differential geometry of real Monge-Ampère foliations ⋮ An immersed Raviart-Thomas mixed finite element method for elliptic interface problems on unfitted meshes ⋮ Ricci DeTurck flow on incomplete manifolds ⋮ Coercivity of Combined Boundary Integral Equations in High-Frequency Scattering ⋮ Boundary estimation from point clouds: algorithms, guarantees and applications ⋮ Two-phase compressible/incompressible Navier-Stokes system with inflow-outflow boundary conditions ⋮ Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below ⋮ Unnamed Item ⋮ Reaction-diffusion on metric graphs: from 3D to 1D ⋮ Stationary solutions to the compressible Navier-Stokes system with general boundary conditions ⋮ Curvature and distance function from a manifold ⋮ Deformation of scalar curvature and volume ⋮ A cell-cell repulsion model on a hyperbolic Keller-Segel equation ⋮ An immersed \(CR\)-\(P_0\) element for Stokes interface problems and the optimal convergence analysis ⋮ Convergence of a Brinkman-type penalization for compressible fluid flows ⋮ Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems ⋮ Localized nodal solutions for a critical nonlinear Schrödinger equation ⋮ Distance from submanifolds with boundary and applications to Poincaré inequalities and to elliptic and parabolic problems ⋮ Compressible Navier‐Stokes system with general inflow‐outflow boundary data on piecewise regular domains ⋮ Rigidity of nonpositively curved manifolds with convex boundary ⋮ Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient ⋮ Uniqueness and support properties of solutions to singular quasilinear parabolic equations on surfaces of revolution ⋮ Iterative Computation of the Fréchet Derivative of the Polar Decomposition ⋮ A nonconforming immersed virtual element method for elliptic interface problems ⋮ Navigating Around Convex Sets ⋮ A compactness result about density in compressible Navier-Stokes equations in variable domain ⋮ An immersed Crouzeix-Raviart finite element method in 2D and 3D based on discrete level set functions ⋮ A new numerical scheme for discrete constrained total variation flows and its convergence ⋮ Compressible Navier-Stokes system with hard sphere pressure law and general inflow-outflow boundary conditions ⋮ Existence, uniqueness and structure of second order absolute minimisers ⋮ Delay embedding of periodic orbits using a fixed observation function ⋮ Ambient residual penalty approximation of partial differential equations on embedded submanifolds ⋮ Ambient approximation on embedded submanifolds ⋮ On support of solutions to singular nonlinear parabolic equations in bounded domains ⋮ Compressible Navier--Stokes System with General Inflow-Outflow Boundary Data ⋮ Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations ⋮ Positive solutions of semilinear elliptic problems with a Hardy potential ⋮ On the Höpf boundary lemma for singular semilinear elliptic equations ⋮ Existence, uniqueness and regularity of the projection onto differentiable manifolds ⋮ Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies ⋮ Criteria for well-posedness of degenerate elliptic and parabolic problems ⋮ Propagation of regularity of level sets for a class of active transport equations ⋮ Diffusion processes in thin tubes and their limits on graphs ⋮ The \(c\)-isoperimetric mass of currents and the \(c\)-Plateau problem ⋮ Generalized shape operators on polyhedral surfaces ⋮ A priori estimates and theory of existence for parabolic equations in variable Hölder spaces ⋮ Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces ⋮ On the Höpf boundary lemma for quasilinear problems involving singular nonlinearities and applications ⋮ A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces ⋮ Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain ⋮ Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc ⋮ The distance from the boundary in a Riemannian manifold: regularity up to a conformal change of the metric ⋮ Uniqueness and non-uniqueness of bounded solutions to singular nonlinear parabolic equations ⋮ Construction of weak solutions to compressible Navier-Stokes equations with general inflow/outflow boundary conditions via a numerical approximation ⋮ The simultaneous asymmetric perturbation method for overdetermined free boundary problems ⋮ Penalty method for obliquely reflected diffusions ⋮ Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds ⋮ Sparse data interpolation and smoothing on embedded submanifolds ⋮ Singular measure traveling waves in an epidemiological model with continuous phenotypes ⋮ Fast diffusion on noncompact manifolds: Well-posedness theory and connections with semilinear elliptic equations ⋮ Schauder theory in variable Hölder spaces