Hörmander's Theorem for Parabolic Equations with Coefficients Measurable in the Time Variable

DOI10.1137/130916874zbMath1288.35315arXiv1302.3985OpenAlexW2593485239MaRDI QIDQ5415080

Nicolai V. Krylov

Publication date: 9 May 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3985

zbMATH Keywords

hypoellipticitymeasurable coefficientsparabolic operatorsrestricted hypoellipticity

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Hypoelliptic equations (35H10) Second-order parabolic equations (35K10)

Related Items (6)

Hörmander's hypoelliptic theorem for nonlocal operators ⋮ The parametrix method for parabolic SPDEs ⋮ The obstacle problem for quasilinear stochastic PDEs with degenerate operator ⋮ Hörmander’s theorem for stochastic partial differential equations ⋮ Space regularity for evolution operators modeled on Hörmander vector fields with time dependent measurable coefficients ⋮ \(L^2\)-theory of linear degenerate SPDEs and \(L^p ( p > 0)\) estimates for the uniform norm of weak solutions

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