Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth
type: Item
instance of: scholarly article
title: Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth
zbMATH Open document ID: 1258.35192
author: Michael Winkler
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2013-02-04T00:00:00Z
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 74K35
zbMATH DE Number: 6134344
zbMATH Keywords: fourth-order parabolic equation
zbMATH Keywords: absorbing set
zbMATH Keywords: molecular beam epitaxy
zbMATH Keywords: surface diffusion
zbMATH Keywords: Rothe approximation
MaRDI profile type: Publication
full work available at URL: s00033-011-0128-1
OpenAlex ID: W2018853138
cites work: Higher order nonlinear degenerate parabolic equations
cites work: On the existence of solutions for amorphous molecular beam epitaxy
cites work: Thin-film-growth models: roughness and correlation functions
cites work: Stationary Solutions for a Model of Amorphous Thin-Film Growth
cites work: Regularity and blow up in a surface growth model
cites work: On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
cites work: Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
cites work: Q5630031
cites work: The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
cites work: Elliptic partial differential equations of second order
cites work: The Derrida–Lebowitz–Speer–Spohn Equation: Existence, NonUniqueness, and Decay Rates of the Solutions
cites work: Dynamic Scaling of Growing Interfaces
cites work: A fourth-order parabolic equation modeling epitaxial thin film growth
cites work: Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
cites work: On Cahn-Hilliard type equations
cites work: A continuum model of kinetic roughening and coarsening in thin films
cites work: Optimal bounds on the Kuramoto-Sivashinsky equation
cites work: Amorphous molecular beam epitaxy: global solutions and absorbing sets
cites work: Q4163866
cites work: Q3706042
DOI: 10.1007/S00033-011-0128-1
description: scientific article; zbMATH DE number 6134344