Regularity theorems for parabolic equations

DOI10.1016/j.jfa.2005.04.001zbMath1090.35059OpenAlexW2062060574MaRDI QIDQ2368779

Yanyan Li

Publication date: 28 April 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.04.001

zbMATH Keywords

Hölder continuityNash method

Mathematics Subject Classification ID

Related Items (19)

Feller generators and stochastic differential equations with singular (form-bounded) drift ⋮ Stochastic equations with time-dependent singular drift ⋮ On admissible singular drifts of symmetric α‐stable process ⋮ Regularity properties of passive scalars with rough divergence-free drifts ⋮ Regularity for parabolic equations with singular non-zero divergence vector fields ⋮ Sharp solvability for singular SDEs ⋮ Hölder continuity for a drift-diffusion equation with pressure ⋮ Solutions to a class of forced drift-diffusion equations with applications to the magneto-geostrophic equations ⋮ Fundamental solutions for second-order parabolic systems with drift terms ⋮ Persistence of Besov regularity for a generalized drift-diffusion equation with pressure ⋮ Liouville theorems for supersolutions of semilinear elliptic equations with drift terms in exterior domains ⋮ Feller generators with measure-valued drifts ⋮ Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics ⋮ On some properties of weak solutions to elliptic equations with divergence-free drifts ⋮ On the Hölder regularity of the weak solution to a drift-diffusion system with pressure ⋮ Brownian motion with general drift ⋮ Green's function for second order parabolic equations with singular lower order coefficients ⋮ Parabolic equations with divergence-free drift in space L_{t}^{l}L_{x}^{q} ⋮ Heat kernel bounds for parabolic equations with singular (form-bounded) vector fields

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