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

DOI10.1007/s00033-023-02148-wMaRDI QIDQ6123313

No author found.

Publication date: 4 March 2024

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

blow-upfourth-order parabolic equationglobal existencegradient nonlinearity

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Cites Work

• Global existence, blow up and extinction for a class of thin-film equation
• Solutions of fourth-order parabolic equation modeling thin film growth
• Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
• Saddle points and instability of nonlinear hyperbolic equations
• A fourth-order parabolic equation modeling epitaxial thin film growth
• Classification of blow-up and global existence of solutions to an initial Neumann problem
• Global existence and blow-up of weak solutions for a pseudo-parabolic equation with high initial energy
• On global solution of nonlinear hyperbolic equations
• Asymptotic Behavior of Solutions for a Fourth Order Parabolic Equation with Gradient Nonlinearity via the Galerkin Method
• Blowup for a Fourth-Order Parabolic Equation with Gradient Nonlinearity