Asymptotic property of singular solutions in some nonstandard parabolic equation
DOI10.1016/J.NONRWA.2021.103301zbMath1467.76064OpenAlexW3132662430MaRDI QIDQ2025902
Yurou Sun, Bingchen Liu, Yu-Xi Wang
Publication date: 17 May 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.2021.103301
blow-up rateGalerkin approximationblow-up timeextinction timeanisotropic Orlicz-Sobolev spaceextinction rate\( p ( x, t )\)-LaplacianSobolev embedding inequality
PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Magnetohydrodynamics and electrohydrodynamics (76W05) Diffusion and convection (76R99) Integro-partial differential equations (35R09)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Isolated singularities of positive solutions to the weighted \(p\)-Laplacian
- Quenching of solutions to a class of semilinear parabolic equations with boundary degeneracy
- Existence of solutions to an initial Dirichlet problem of evolutional \(p(x)\)-Laplace 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
- Boundary behavior and asymptotic behavior of solutions to a class of parabolic equations with boundary degeneracy
- Study of weak solutions for parabolic equations with nonstandard growth conditions
- Lebesgue and Sobolev spaces with variable exponents
- Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
- Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with localized source
- Extinction of solutions of parabolic equations with variable anisotropic nonlinearities
- On stationary thermo-rheological viscous flows
- Blow-up of the solution for a \(p\)-Laplacian equation with positive initial energy
- Blow-up of solutions to parabolic equations with nonstandard growth conditions
- New diffusion models in image processing
- Large time behavior of solutions to degenerate parabolic equations with weights
- Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
- Positive periodic solutions of the weighted \(p\)-Laplacian with nonlinear sources
- Regularity results for stationary electro-rheological fluids
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Properties of the boundary flux of a singular diffusion process
- Semilinear parabolic equations with prescribed energy
- Nonlinear diffusion equations driven by the \(p(\cdot)\)-Laplacian
- Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
- Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions
- Existence and localization of weak solutions of nonlinear parabolic equations with variable exponent of nonlinearity
- Anisotropic parabolic equations with variable nonlinearity
- Singular phenomena of solutions for nonlinear diffusion equations involving \(p(x)\)-Laplace operator and nonlinear sources
- Evolutionary weighted \(p\)-Laplacian with boundary degeneracy
- Doubly degenerate parabolic equations with variable nonlinearity. II: Blow-up and extinction in a finite time
- Asymptotic behavior of solutions to a class of semilinear parabolic equations with boundary degeneracy
- Critical exponents for a semilinear parabolic equation with variable reaction
- Quenching for degenerate parabolic equations
- Singular solutions in nonlinear parabolic equations with anisotropic nonstandard growth conditions
- Evolution PDEs with Nonstandard Growth Conditions
- GLOBAL EXISTENCE AND BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLOCAL SOURCE
- Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with nonlocal source
- Singularities of solutions to the weighted p-Laplacian with an isolated singular point
- Critical extinction and blow‐up exponents for fast diffusive p‐Laplacian with sources
- Global existence and blow-up solution for doubly degenerate parabolic system with nonlocal sources and inner absorptions
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Mathematical modeling of electrorheological materials
This page was built for publication: Asymptotic property of singular solutions in some nonstandard parabolic equation