Well-posedness and dynamic properties of solutions to a class of fourth order parabolic equation with mean curvature nonlinearity
From MaRDI portal
Publication:2697281
DOI10.3934/dcdsb.2022240OpenAlexW4312355567MaRDI QIDQ2697281
Publication date: 18 April 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022240
Attractors (35B41) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Quasilinear parabolic equations with mean curvature operator (35K93)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Addendum to ``Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Global existence, blow up and extinction for a class of thin-film equation
- Biharmonic elliptic problems involving the 2nd Hessian operator
- Dynamics of quasi-stable dissipative systems
- Solutions of fourth-order parabolic equation modeling thin film growth
- Existence and regularity for the problem of a pendent liquid drop
- On the longtime behavior of solutions to a model for epitaxial growth
- Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling
- A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
- Global \(C^{1,1}\)-regularity for solutions of quasilinear variational inequalities
- Saddle points and instability of nonlinear hyperbolic equations
- Boundary value problems for surfaces of prescribed mean curvature
- A fourth-order parabolic equation modeling epitaxial thin film growth
- A class of fourth-order parabolic equation with arbitrary initial energy
- \(L^{2}\)-norm blow-up of solutions to a fourth order parabolic PDE involving the Hessian
- Global existence and finite time blow-up for a class of thin-film equation
- Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian
- Asymptotic behavior for a fourth-order parabolic equation involving the Hessian
- Minimax theorems
- Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth
- Some fourth order nonlinear elliptic problems related to epitaxial growth
- A continuum model of kinetic roughening and coarsening in thin films
- Blow-up of solutions to a fourth-order parabolic equation with/without \(p\)-Laplacian and general nonlinearity modeling epitaxial growth
- Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator
- Comments on the paper ``Asymptotic behavior for a fourth-order parabolic equation involving the Hessian
- Suppression of epitaxial thin film growth by mixing
- Global existence, finite time blow-up, and vacuum isolating phenomenon for a class of thin-film equation
- Capillary surfaces over obstacles
- Global asymptotical behavior of solutions to a class of fourth order parabolic equation modeling epitaxial growth
- Global existence and blow-up for a fourth order parabolic equation involving the Hessian
- Classical and non-classical solutions of a prescribed curvature equation
- Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
- Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
- Existence and nonexistence of global solutions for nonlinear parabolic equations
- The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions
- Steady state solutions of a bi-stable quasi-linear equation with saturating flux
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Some remarks on the wave equations with nonlinear damping and source terms
- Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II
- Global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem
- Global existence and blow-up for a mixed pseudo-parabolicp-Laplacian type equation with logarithmic nonlinearity-II
- Blowup for a Fourth-Order Parabolic Equation with Gradient Nonlinearity
- Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations
- Global well-posedness and global attractor of fourth order semilinear parabolic equation
- On reaction processes with saturating diffusion
- Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- The growth of crystals and the equilibrium structure of their surfaces
This page was built for publication: Well-posedness and dynamic properties of solutions to a class of fourth order parabolic equation with mean curvature nonlinearity