Study of weak solutions for a fourth-order parabolic equation with variable exponent of nonlinearity
From MaRDI portal
Publication:1938459
DOI10.1007/s00033-011-0148-xzbMath1259.35110OpenAlexW2095142093MaRDI QIDQ1938459
Publication date: 4 February 2013
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-011-0148-x
existence and uniquenessnonstandard growth conditionLeray-Schauder's fixed point theorem\(p(x)\)-Laplacian operator
Initial-boundary value problems for higher-order parabolic equations (35K35) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (9)
Carleman estimate and null controllability of a fourth order parabolic equation in dimension \(N\geq 2\) ⋮ Existence,uniqueness, and nonexistence of solutions to nonlinear diffusion equations with \(p(x,t)\)-Laplacian operator ⋮ Study of weak solutions to a nonlinear fourth‐order parabolic equation with boundary degeneracy ⋮ Singular solutions for the fourth‐order parabolic equation with nonstandard growth conditions and absorption ⋮ Classification of singular solutions in a nonlinear fourth-order parabolic equation ⋮ Energy classification in a nonstandard fourth‐order parabolic equation with a Navier boundary condition ⋮ On a double degenerate fourth-order parabolic equation ⋮ Existence of solutions to a doubly degenerate fourth-order parabolic equation ⋮ Null controllability of semi-linear fourth order parabolic equations
Cites Work
- On the spectrum of a fourth order elliptic equation with variable exponent
- Existence and asymptotic behavior of solutions to a nonlinear parabolic equation of fourth order
- Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
- Gagliardo-Nirenberg type inequality for variable exponent Lebesgue spaces
- Compact sets in the space \(L^ p(0,T;B)\)
- Long-Time asymptotics for strong solutions of the thin film equation
- Two generalizations of the thin film equation
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Doubly nonlinear thin-film equations in one space dimension
- Fourth-order partial differential equations for noise removal
- Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
- Implicit Degenerate Evolution Equations and Applications
- Existence, Uniqueness, and Numerical Analysis of Solutions of a Quasilinear Parabolic Problem
- Sobolev embeddings with variable exponent
- On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Regularity results for a class of functionals with non-standard growth
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: Study of weak solutions for a fourth-order parabolic equation with variable exponent of nonlinearity
