Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients

DOI10.3934/cpaa.2005.4.241zbMath1084.35034OpenAlexW2155878609MaRDI QIDQ2566911

Kenneth Hvistendahl Karlsen, Gui-Qiang G. Chen

Publication date: 29 September 2005

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2005.4.241

zbMATH Keywords

well-posednesscontinuous dependencediscontinuous entropy solutions

Mathematics Subject Classification ID

Related Items (38)

Well-posed and stable problems for Prandtl's boundary layer system ⋮ A degenerate parabolic–hyperbolic Cauchy problem with a stochastic force ⋮ Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions ⋮ Global classical solutions to the Cauchy problem of conservation laws with degenerate diffusion ⋮ A new kind of the solution of degenerate parabolic equation with unbounded convection term ⋮ Strong Traces to Degenerate Parabolic Equations ⋮ 𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations ⋮ Stochastic non-isotropic degenerate parabolic-hyperbolic equations ⋮ On a nonlocal hyperbolic conservation law arising from a gradient constraint problem ⋮ A boundary value problem for a class of anisotropic degenerate parabolic-hyperbolic equations ⋮ On the Cauchy problem of a degenerate parabolic-hyperbolic PDE with Lévy noise ⋮ Optimal continuous dependence estimates for fractional degenerate parabolic equations ⋮ Kolmogorov continuity and stability of sample paths of entropy solutions of stochastic conservation laws ⋮ Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift ⋮ Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations ⋮ Velocity averaging for diffusive transport equations with discontinuous flux ⋮ Invariant measures for stochastic parabolic–hyperbolic equations in the space of almost periodic functions: Lipschitz flux case ⋮ Homogenization of degenerate porous medium type equations in ergodic algebras ⋮ Uniqueness of entropy solution for general anisotropic convection-diffusion problems ⋮ Entropy solutions for stochastic porous media equations ⋮ Nonlocal dissipation measure and L¹ kinetic theory for fractional conservation laws ⋮ Uniqueness and existence for anisotropic degenerate parabolic equations with boundary conditions on a bounded rectangle ⋮ Decay of periodic entropy solutions to degenerate nonlinear parabolic equations ⋮ On nonlinear diffusion problems with strong degeneracy ⋮ Well-posedness theory for degenerate parabolic equations on Riemannian manifolds ⋮ Continuous dependence estimate for a degenerate parabolic-hyperbolic equation with Lévy noise ⋮ On nonlinear stochastic balance laws ⋮ Stability estimates on general scalar balance laws ⋮ A kinetic approach to error estimate for nonautonomous anisotropic degenerate parabolic-hyperbolic equations ⋮ Continuous dependence estimate for conservation laws with Lévy noise ⋮ On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions ⋮ Three models for two phase flow in porous media ⋮ Asymptotic decay of Besicovitch almost periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations ⋮ Renormalized solutions for convection-diffusion problems involving a nonlocal operator ⋮ Numerical methods for conservation laws with rough flux ⋮ Viscosity solutions of a class of degenerate quasilinear parabolic equations with Dirichlet boundary condition ⋮ Singular diffusion with Neumann boundary conditions ⋮ Crowd Dynamics Through Conservation Laws

This page was built for publication: Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients