Asymptotic Behavior of Solutions for a Fourth Order Parabolic Equation with Gradient Nonlinearity via the Galerkin Method

DOI10.1007/978-3-030-73363-6_12zbMath1473.35051OpenAlexW3169067210MaRDI QIDQ5153544

Nobuhito Miyake, Shinya Okabe

Publication date: 30 September 2021

Published in: Geometric Properties for Parabolic and Elliptic PDE's (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-73363-6_12

zbMATH Keywords

Galerkin methodfourth-order parabolic equationpotential well methodepitaxial growthgradient nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Semilinear parabolic equations (35K58)

Related Items (1)

Global existence and blow-up of weak solutions for a fourth-order parabolic equation with gradient nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solutions of fourth-order parabolic equation modeling thin film growth
• Saddle points and instability of nonlinear hyperbolic equations
• A fourth-order parabolic equation modeling epitaxial thin film growth
• A class of fourth-order parabolic equation with arbitrary initial energy
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• A continuum model of kinetic roughening and coarsening in thin films
• On global solution of nonlinear hyperbolic equations
• Global Attractor for a Fourth-Order Parabolic Equation Modeling Epitaxial Thin Film Growth
• The existence of global attractor for a fourth-order parabolic equation
• Blowup for a Fourth-Order Parabolic Equation with Gradient Nonlinearity
• Semilinear parabolic equations involving critical Sobolev exponent: Local and asymptotic behavior of solutions

This page was built for publication: Asymptotic Behavior of Solutions for a Fourth Order Parabolic Equation with Gradient Nonlinearity via the Galerkin Method