Uniform Sobolev inequalities for second order non-elliptic differential operators

DOI10.1016/j.aim.2016.07.016zbMath1348.35013arXiv1510.05741OpenAlexW2963641651MaRDI QIDQ317319

Eunhee Jeong, Yehyun Kwon, Sanghyuk Lee

Publication date: 30 September 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05741

zbMATH Keywords

Sobolev inequalityuniform estimatenon-ellipticrestricted weak type endpoint estimates

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) A priori estimates in context of PDEs (35B45) Continuation and prolongation of solutions to PDEs (35B60) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (13)

Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner-Riesz estimates with negative index for non-elliptic surfaces ⋮ Strichartz and uniform Sobolev inequalities for the elastic wave equation ⋮ Sharp \(L^p\)-\(L^q\) estimate for the spectral projection associated with the twisted Laplacian ⋮ Carleman estimates and boundedness of associated multiplier operators ⋮ Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case ⋮ Limiting absorption principle on L p-spaces and scattering theory ⋮ Sharp resolvent estimates outside of the uniform boundedness range ⋮ Existence uniqueness and regularity theory for elliptic equations with complex-valued potentials ⋮ An endpoint version of uniform Sobolev inequalities ⋮ Resolvent estimates for the Lamé operator and failure of Carleman estimates ⋮ Uniform bounds of discrete Birman–Schwinger operators ⋮ Uniform resolvent estimates for the discrete Schrödinger operator in dimension three ⋮ A type of oscillatory integral operator and its applications

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