A Regularizing Property of the 2D-Eikonal Equation
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Publication:3448242
DOI10.1080/03605302.2014.999939zbMath1327.35062arXiv1409.2102OpenAlexW1975355935MaRDI QIDQ3448242
Publication date: 23 October 2015
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.2102
Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65) Nonlinear first-order PDEs (35F20) Hamilton-Jacobi equations (35F21)
Related Items (13)
Rigidity and trace properties of divergence-measure vector fields ⋮ On the \(L^2\) stability of shock waves for finite-entropy solutions of Burgers ⋮ Nonlinear approximation of 3D smectic liquid crystals: sharp lower bound and compactness ⋮ Variational analysis of the \(J_1-J_2-J_3\) model: a non-linear lattice version of the Aviles-Giga functional ⋮ On the regularity of weak solutions to Burgers' equation with finite entropy production ⋮ Factorization for entropy production of the Eikonal equation and regularity ⋮ COMPACTNESS AND STRUCTURE OF ZERO-STATES FOR UNORIENTED AVILES–GIGA FUNCTIONALS ⋮ Regularity of the Eikonal equation with two vanishing entropies ⋮ On optimal regularity estimates for finite-entropy solutions of scalar conservation laws ⋮ On entire solutions to eikonal-type equations ⋮ Kinetic formulation of vortex vector fields ⋮ Rigidity of a non-elliptic differential inclusion related to the Aviles-giga conjecture ⋮ On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds
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