Long-time behavior for a nonlinear parabolic problem with variable exponents
From MaRDI portal
Publication:432334
DOI10.1016/j.jmaa.2012.03.039zbMath1244.35013OpenAlexW2063610950MaRDI QIDQ432334
Publication date: 4 July 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.039
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55)
Related Items
Diffusion convection equation with variable nonlinearities ⋮ Long-time behavior of solutions for a fractional diffusion problem ⋮ A global attractor for a \(p(x)\)-Laplacian inclusion ⋮ Continuity of the flow and robustness for evolution equations with non globally Lipschitz forcing term ⋮ Stability of polytropic filtration equation with variable exponents ⋮ Weak mean random attractors for nonautonomous stochastic parabolic equation with variable exponents ⋮ Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method ⋮ Upper semicontinuity of pullback D$\mathcal {D}$‐attractors for nonlinear parabolic equation with nonstandard growth condition ⋮ Pullback attractors for non-autonomous evolution equations with spatially variable exponents ⋮ Global attractors for nonlinear parabolic equations with nonstandard growth and irregular data ⋮ Existence and non-existence results for nonlinear elliptic equations with nonstandard growth ⋮ Positive solutions of a nonlinear parabolic equation with double variable exponents
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global attractors for the \(p\)-Laplacian equations with nonregular data
- PDE and ODE limit problems for \(p(x)\)-Laplacian parabolic equations
- Infinite-dimensional attractors for evolution equations with \(p\)-Laplacian and their Kolmogorov entropy.
- On the \(Z_2\) index of the global attractor for a class of \(p\)-Laplacian equations
- Lebesgue and Sobolev spaces with variable exponents
- A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
- A global attractor for a \(p(x)\)-Laplacian parabolic problem
- Global attractors for \(p\)-Laplacian equation
- On global attractor for nonlinear parabolic equations of \(m\)-Laplacian type
- Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
- Positive periodic solutions for a system of anisotropic parabolic equations
- Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data
- Infinite-dimensional dynamical systems in mechanics and physics.
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- Anisotropic parabolic equations with variable nonlinearity
- Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and \(L^{1}\) data
- The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
- On the density of smooth functions in Sobolev-Orlicz spaces
- Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
- The critical forms of the attractors for semigroups and the existence of critical attractors
- Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
- Asymptotic regularity for p-Laplacian equation
- Finite- and infinite-dimensional attractors for porous media equations
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Mathematical modeling of electrorheological materials
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
