Mathematical validation of a continuum model for relaxation of interacting steps in crystal surfaces in 2 space dimensions

DOI10.1007/s00526-020-01838-xzbMath1460.35344arXiv1910.11153OpenAlexW3083800853WikidataQ115387033 ScholiaQ115387033MaRDI QIDQ2204076

Xiangsheng Xu

Publication date: 2 October 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11153

zbMATH Keywords

weak solutionnonlinear partial differential equationcrystal surfacebackward difference method

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Finite difference methods for boundary value problems involving PDEs (65N06) Weak solutions to PDEs (35D30) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (4)

Continuity of derivatives of a convex solution to a perturbed one-Laplace equation by \(p\)-Laplacian ⋮ Partial regularity for an exponential PDE in crystal surface models ⋮ Exponential crystal relaxation model with \(p\)-Laplacian ⋮ Local Lipschitz bounds for solutions to certain singular elliptic equations involving the one-Laplacian

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