An energy formula for fully nonlinear degenerate parabolic equations in one spatial dimension
From MaRDI portal
Publication:6583569
DOI10.1007/s00208-023-02740-5zbMATH Open1544.35104MaRDI QIDQ6583569
Phillipo Lappicy, Ester Beatriz
Publication date: 6 August 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Topological and monotonicity methods applied to PDEs (35A16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inverse mean curvature flow for star-shaped hypersurfaces evolving in a cone
- Boundedness of global solutions for a heat equation with exponential gradient source
- Degenerate parabolic equations
- Convergence to steady states for a one-dimensional viscous Hamilton-Jacobi equation with Dirichlet boundary conditions
- Convergence to steady states in a viscous Hamilton-Jacobi equation with degenerate diffusion
- Parabolic evolution equations and nonlinear boundary conditions
- Geometric theory of semilinear parabolic equations
- Convergence for degenerate parabolic equations
- Infinite time blow-up of solutions to a nonlinear parabolic problem
- Nonlinear diffusion in transparent media: the resolvent equation
- Convergence in smooth strongly monotone flows defined by semilinear parabolic equations
- The Dirichlet problem for the porous medium equation in bounded domains. Asymptotic behavior
- A Lyapunov function for fully nonlinear parabolic equations in one spatial variable
- Sturm attractors for quasilinear parabolic equations with singular coefficients
- Weak solutions of inverse mean curvature flow for hypersurfaces with boundary
- Radial equivalence for the two basic nonlinear degenerate diffusion equations
- A geometric tangential approach to sharp regularity for degenerate evolution equations
- Quenching for a one-dimensional fully nonlinear parabolic equation in detonation theory
- An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle
- Stability and convergence in strongly monotone dynamical systems.
- Stabilization of solutions of a degenerate nonlinear diffusion problem
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- Finite extinction time for a class of non-linear parabolic equations
- On a Class of Fully Nonlinear Parabolic Equations
- Convergence for Strongly Order-Preserving Semiflows
- User’s guide to viscosity solutions of second order partial differential equations
- A Lyapunov Function for Tridiagonal Competitive-cooperative Systems
- On the equation of turbulent filtration in one- dimensional porous media
- The regularity of general parabolic systems with degenerate diffusion
- Boundedness of global solutions of a p-Laplacian evolution equation with a nonlinear gradient term
- Pointwise estimates and quasilinear parabolic equations
- Analytic semigroups and optimal regularity in parabolic problems
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
- Sturm attractors for fully nonlinear parabolic equations
Related Items (1)
This page was built for publication: An energy formula for fully nonlinear degenerate parabolic equations in one spatial dimension