Existence and uniqueness of weak solutions for a fourth-order nonlinear parabolic equation
From MaRDI portal
Publication:854080
DOI10.1016/j.jmaa.2006.02.024zbMath1107.35038OpenAlexW1996439941MaRDI QIDQ854080
Publication date: 7 December 2006
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.2006.02.024
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (15)
Partial differential equation transform-Variational formulation and Fourier analysis ⋮ Biomolecular surface construction by PDE transform ⋮ Carleman estimate and null controllability of a fourth order parabolic equation in dimension \(N\geq 2\) ⋮ Object-oriented persistent homology ⋮ Geometric and potential driving formation and evolution of biomolecular surfaces ⋮ Existence and uniqueness of weak solutions for a 2D low-curvature equation ⋮ Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations ⋮ Fourth-order nonlinear degenerate problem for image decomposition ⋮ Mode decomposition evolution equations ⋮ Differential geometry based solvation model II: Lagrangian formulation ⋮ Unconditionally stable compact theta schemes for solving the linear and semi-linear fourth-order diffusion equations ⋮ Finite time blow-up for some nonlinear evolution equations ⋮ Some properties of solutions of a fourth-order parabolic equation for image processing ⋮ Null controllability of semi-linear fourth order parabolic equations ⋮ High-order fractional partial differential equation transform for molecular surface construction
Cites Work
- Degenerate parabolic equations
- A fourth-order parabolic equation modeling epitaxial thin film growth
- \(H^ 1\) solutions of a class of fourth order nonlinear equations for image processing.
- Full \(C^{1,\alpha}\)-regularity for free and constrained local minimizers of elliptic variational integrals with nearly linear growth
- A priori \(L^\infty\)-estimate and existence of solutions for some nonlinear parabolic equations
- On the equation \(\text{div }u=f\)
- Existence and uniqueness of weak solutions for a generalized thin film equation
- Existence and uniqueness of global solutions for the parabolic equation of the bi-harmonic type.
- Fourth-order partial differential equations for noise removal
- Thin Films with High Surface Tension
- On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
- Image Decomposition and Restoration Using Total Variation Minimization and theH1
- Traveling Wave Solutions of Fourth Order PDEs for Image Processing
- Low‐curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes
- On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
- Thin film epitaxy with or without slope selection
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Existence and uniqueness of weak solutions for a fourth-order nonlinear parabolic equation
