Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity
From MaRDI portal
Publication:5946036
DOI10.4171/IFB/40zbMath1002.35059OpenAlexW2002041681MaRDI QIDQ5946036
Anatolii F. Tedeev, Daniele Andreucci
Publication date: 13 January 2003
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/ifb/40
Nonlinear parabolic equations (35K55) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Higher-order parabolic equations (35K25)
Related Items (18)
Long-time behaviour of the solution to the Cauchy problem for degenerate parabolic equations with nonpower nonlinearities ⋮ Doubly nonlinear thin-film equations in one space dimension ⋮ Liouville property for solutions of the linearized degenerate thin film equation of fourth order in a halfspace ⋮ Large-time behavior of solutions to the Cauchy problem for degenerate parabolic system ⋮ The bound of supports of solutions for some classes of evolutionary systems and equations ⋮ Finite speed propagation for parabolic quasiminimizers ⋮ Убывание решения задачи коши при неограниченном возрастании времени дважды вырожденных параболических уравнений с демпфированием ⋮ Qualitative Properties of Solutions of Degenerate Parabolic Equations via Energy Approaches ⋮ Moser-Nash kernel estimates for degenerate parabolic equations ⋮ Bounds for solutions of the Cauchy problem for an anisotropic degenerate doubly nonlinear parabolic equation with growing initial data ⋮ Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting ⋮ Support properties of solution to degenerate equation with variable coefficient and absorption ⋮ The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations ⋮ Droplet Spreading Under Weak Slippage—Existence for the Cauchy Problem ⋮ Local and global estimates of the solutions of the Cauchy problem for quasilinear parabolic equations with a nonlinear operator of Baouendi-Grushin type ⋮ On the phenomenon of the support shrinking of a solution with a time delay and on the extinction of the solution ⋮ Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations ⋮ Disappearance and global existence of interfaces for a doubly degenerate parabolic equation with variable coefficient
This page was built for publication: Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity