Singular solutions for the fourth‐order parabolic equation with nonstandard growth conditions and absorption
From MaRDI portal
Publication:6139309
DOI10.1002/mma.9044zbMath1529.35089OpenAlexW4317693863MaRDI QIDQ6139309
Bingchen Liu, Anqi Sun, Fengjie Li
Publication date: 18 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9044
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
Cites Work
- Blow-up phenomena for a pseudo-parabolic equation with variable exponents
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term
- Solutions of fourth-order parabolic equation modeling thin film growth
- On stationary thermo-rheological viscous flows
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Blow-up for parabolic and hyperbolic problems with variable exponents
- A fourth-order parabolic equation modeling epitaxial thin film growth
- A class of fourth-order parabolic equation with arbitrary initial energy
- Finite time blow-up for a thin-film equation with initial data at arbitrary energy level
- Asymptotic behavior for a fourth-order parabolic equation modeling thin film growth
- Regularity results for stationary electro-rheological fluids
- Study of weak solutions for a fourth-order parabolic equation with variable exponent of nonlinearity
- Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
- A continuum model of kinetic roughening and coarsening in thin films
- A complete classification of initial energy in a \(p ( x )\)-Laplace pseudo-parabolic equation
- Blow-up versus extinction in a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
- Potential well method for \(p ( x )\)-Laplacian equations with variable exponent sources
- Global asymptotical behavior of solutions to a class of fourth order parabolic equation modeling epitaxial growth
- A nonlinear diffusion problem with convection and anisotropic nonstandard growth conditions
- Lower bounds for the blow-up time in a semilinear parabolic problem involving a variable source
- Fourth-order partial differential equations for noise removal
- Critical exponents for a semilinear parabolic equation with variable reaction
- Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
- Asymptotic analysis for blow-up solutions in parabolic equations involving variable exponents
- Evolution PDEs with Nonstandard Growth Conditions
- Variable Exponent, Linear Growth Functionals in Image Restoration
This page was built for publication: Singular solutions for the fourth‐order parabolic equation with nonstandard growth conditions and absorption