On weighted mixed-norm Sobolev estimates for some basic parabolic equations

DOI10.3934/cpaa.2017041zbMath1359.35090arXiv1602.00757OpenAlexW2964297635MaRDI QIDQ519530

Pablo Raúl Stinga, Li Ping, José Luis Torrea

Publication date: 5 April 2017

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

Full work available at URL: https://arxiv.org/abs/1602.00757

zbMATH Keywords

heat equationmixed-norm estimatedegenerate parabolic extension problemharmonic oscillator evolution equationlanguage of semigroupsweighted Sobolev estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Second-order parabolic equations (35K10) Harmonic analysis and PDEs (42B37)

Related Items

Hölder, Sobolev, weak-type and BMO estimates in mixed-norm with weights for parabolic equations, Parabolic equations involving Bessel operators and singular integrals, Anisotropic fractional Sobolev extension and its applications, Parabolic equations involving Laguerre operators and weighted mixed-norm estimates, Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces, Restricted estimates of the fractional integral on the diagonal, Regularity for parabolic equations with singular or degenerate coefficients, An embedding theorem for anisotropic fractional Sobolev spaces, The oscillation of the Poisson semigroup associated to parabolic Hermite operator, Hardy-Littlewood-Sobolev inequality on mixed-norm Lebesgue spaces

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