Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source
From MaRDI portal
Publication:2061615
DOI10.1016/j.nonrwa.2021.103449zbMath1479.35145OpenAlexW3211000286MaRDI QIDQ2061615
Bingchen Liu, Fengjie Li, Min Zhang
Publication date: 15 December 2021
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103449
Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (4)
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on \(( x , t )\) and negative initial energy ⋮ Global well-posedness of solutions to a class of double phase parabolic equation with variable exponents ⋮ Global existence and regularity for a pseudo-parabolic equation with \(p(x,t)\)-Laplacian ⋮ Note on a higher order pseudo‐parabolic equation with variable exponents
Cites Work
- Unnamed Item
- Unnamed Item
- Lipschitz continuity for energy integrals with variable exponents
- Blow-up phenomena for a pseudo-parabolic equation with variable exponents
- 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
- Hölder regularity of quasiminimizers under generalized growth conditions
- Extinction of solutions of parabolic equations with variable anisotropic nonlinearities
- On stationary thermo-rheological viscous flows
- Regularity under sharp anisotropic general growth conditions
- Blow-up for parabolic and hyperbolic problems with variable exponents
- Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
- Saddle points and instability of nonlinear hyperbolic equations
- Asymptotic stability and blowing up of solutions of some nonlinear equations
- Double phase problems with variable growth
- Asymptotic behavior for a fourth-order parabolic equation modeling thin film growth
- Regularity results for stationary electro-rheological fluids
- A complete classification of initial energy in a \(p ( x )\)-Laplace pseudo-parabolic equation
- Global existence and blow-up of weak solutions for a pseudo-parabolic equation with high initial energy
- Potential well method for \(p ( x )\)-Laplacian equations with variable exponent sources
- Anisotropic parabolic equations with variable nonlinearity
- A variational approach to parabolic equations under general and \(p,q\)-growth conditions
- Blow-up phenomena for a pseudo-parabolic equation with \(p\)-Laplacian and logarithmic nonlinearity terms
- A nonlinear diffusion problem with convection and anisotropic nonstandard growth conditions
- Singular phenomena of solutions for nonlinear diffusion equations involving \(p(x)\)-Laplace operator and nonlinear sources
- Stability of nonlinear hyperbolic equations
- Existence and nonexistence of global solutions for nonlinear parabolic equations
- Singular solutions in nonlinear parabolic equations with anisotropic nonstandard growth conditions
- Asymptotic analysis for blow-up solutions in parabolic equations involving variable exponents
- Global existence and energy decay estimates for weak solutions to the pseudo‐parabolic equation with variable exponents
- Evolution PDEs with Nonstandard Growth Conditions
- Variable Exponent, Linear Growth Functionals in Image Restoration
This page was built for publication: Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source