Partial regularity for an exponential PDE in crystal surface models
From MaRDI portal
Publication:5089485
DOI10.1088/1361-6544/ac7b62zbMath1495.35066arXiv2101.00558OpenAlexW3177894309WikidataQ114096619 ScholiaQ114096619MaRDI QIDQ5089485
Publication date: 19 July 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.00558
partial regularityexponential nonlinearitynonlinear fourth order equationscrystal surface modelsone-Laplace operator
Smoothness and regularity of solutions to PDEs (35B65) PDEs with multivalued right-hand sides (35R70) Boundary value problems for higher-order elliptic equations (35J40) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) PDEs in connection with statistical mechanics (35Q82)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scale-invariant extinction time estimates for some singular diffusion equations
- Very singular diffusion equations: second and fourth order problems
- The evolution of a crystal surface: analysis of a one-dimensional step train connecting two facets in the ADL regime
- Degenerate parabolic equations
- The maximum principle
- A singular quasilinear diffusion equation in \(L^ 1\)
- Nonlinear evolution equations - global behavior of solutions
- Global existence and decay to equilibrium for some crystal surface models
- Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface
- Semi-linear second-order elliptic equations in \(L^1\)
- Mathematical validation of a continuum model for relaxation of interacting steps in crystal surfaces in 2 space dimensions
- Global stability for solutions to the exponential PDE describing epitaxial growth
- Global strong solution with BV derivatives to singular solid-on-solid model with exponential nonlinearity
- Regularity for quasilinear equations on degenerate singular sets
- Linear and quasilinear elliptic equations
- Strong solutions to a fourth order exponential PDE describing epitaxial growth
- Existence Theorems for a Multidimensional Crystal Surface Model
- Numerical Analysis of a Steepest-Descent PDE Model for Surface Relaxation below the Roughening Temperature
- Existence Theorems for a Crystal Surface Model Involving the $p$-Laplace Operator
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Gradient flow approach to an exponential thin film equation: global existence and latent singularity
- Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects
- The radius of analyticity for solutions to a problem in epitaxial growth on the torus
- Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime
- Continuum Relaxation of Interacting Steps on Crystal Surfaces in $2+1$ Dimensions
