The smoothing property for a class of doubly nonlinear parabolic equations
From MaRDI portal
Publication:4671901
DOI10.1090/S0002-9947-05-03790-6zbMath1072.35102OpenAlexW1861627925MaRDI QIDQ4671901
José Miguel Urbano, Carsten Ebmeyer
Publication date: 27 April 2005
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03790-6
Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15)
Related Items
The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour, Localization for a doubly degenerate parabolic equation with strongly nonlinear sources, Support properties of solutions to a degenerate equation with absorption and variable density, Regularity in Sobolev spaces for the fast diffusion and the porous medium equation, Pointwise estimates via parabolic potentials for a class of doubly nonlinear parabolic equations with measure data, Regularity and time behavior of the solutions to weak monotone parabolic equations, Nonlinear models of the fluid flow in porous media and their methods of study, Regularity in Sobolev spaces for doubly nonlinear parabolic equations
Cites Work
- Uniqueness and existence of solutions in the \(BV_ t(Q)\) space to a doubly nonlinear parabolic problem
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Degenerate parabolic equations
- Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
- Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\).
- On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations
- Existence and uniqueness of solutions of diffusion-absorption equations with general data
- Continuous solutions for a degenerate free boundary problem
- \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
- Homogeneous diffusion in \({\mathbb{R}}\) with power-like nonlinear diffusivity
- Regularity in Sobolev spaces for doubly nonlinear parabolic equations
- Existence and uniqueness of a regular solution of the Cauchy-Dirichlet problem for doubly nonlinear parabolic equations
- A non-degeneracy property for a class of degenerate parabolic equations
- Erratum: Study of a Doubly Nonlinear Heat Equation with No Growth Assumptions on the Parabolic Term
- The One-Dimensional Nonlinear Heat Equation with Absorption: Regularity of Solutions and Interfaces
- Error Estimates for a Class of Degenerate Parabolic Equations
- Regularizing Effects for u t = Δϕ(u)
- Hölder continuity of local weak solutions for parabolic equations exhibiting two degeneracies
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
