Interior and Boundary Regularity of Solutions to a Plasma Type Equation

DOI10.2307/2046997zbMath0694.35022OpenAlexW4230344389MaRDI QIDQ3469455

Ying-Chuen Kwong

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046997

zbMATH Keywords

decay at the boundaryplasma type equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items

Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations ⋮ Solvability of nonlinear boundary-value problems arising in modeling plasma diffusion across a magnetic field and its equilibrium configurations ⋮ Finite extinction for a doubly nonlinear parabolic equation of fast diffusion type ⋮ Optimal regularity and fine asymptotics for the porous medium equation in bounded domains ⋮ Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights ⋮ The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains ⋮ A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation ⋮ Asymptotic behavior of a plasma type equation with finite extinction ⋮ Parabolic approach to nonlinear elliptic eigenvalue problems ⋮ Harnack Estimates and Extinction Profile for Weak Solutions of Certain Singular Parabolic Equations ⋮ Boundary Behavior of the Fast Diffusion Equation ⋮ Optimal boundary regularity for fast diffusion equations in bounded domains

Cites Work

• Stability of the separable solution for fast diffusion
• Asymptotic behavior of the plasma equation with homogeneous dirichlet boundary condition and non-negative initial data
• Finite extinction time for a class of non-linear parabolic equations
• Continuity of solutions of a singular parabolic equation
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