The Cauchy problem for a class of parabolic equations in weighted variable Sobolev spaces: existence and asymptotic behavior
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Publication:298121
DOI10.1016/j.jmaa.2016.05.024zbMath1381.35092OpenAlexW2404756565WikidataQ59227305 ScholiaQ59227305MaRDI QIDQ298121
Jacson Simsen, Sergey Shmarev, Claudianor Oliveira Alves, Mariza Stefanello Simsen
Publication date: 20 June 2016
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.2016.05.024
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order parabolic equations (35K10) Quasilinear parabolic equations (35K59)
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Cites Work
- Unnamed Item
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- Variable Lebesgue spaces. Foundations and harmonic analysis
- Lebesgue and Sobolev spaces with variable exponents
- A global attractor for a \(p(x)\)-Laplacian parabolic problem
- Existence of solution for a degenerate \(p(x)\)-Laplacian equation in \(\mathbb R^N\)
- Compact sets in the space \(L^ p(0,T;B)\)
- Infinite-dimensional dynamical systems in mechanics and physics
- On attractors of multivalued semi-flows and differential inclusions
- Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions
- Anisotropic parabolic equations with variable nonlinearity
- Boundary value problems for some degenerate-elliptic operators
- Monotone operator theory for unsteady problems in variable exponent spaces
- Parabolic problems in R n with spatially variable exponents
- Attractors of asymptotically compact processes and applications to nonlinear partial differential equations
- Nonlinear elliptic problems approximating degenerate equations
- Some concentration phenomena in degenerate semilinear elliptic problems
- Partial Differential Equations with Variable Exponents
- Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
