Schauder estimates for elliptic operators with applications to nodal sets.

DOI10.1007/BF02921945zbMath1057.35009MaRDI QIDQ5950236

Qing Han

Publication date: 19 March 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Higher-order elliptic equations (35J30)

Related Items

Measure estimates of nodal sets of polyharmonic functions ⋮ A local asymptotic expansion for a solution of the Stokes system ⋮ Measure upper bounds for nodal sets of eigenfunctions of the bi‐harmonic operator ⋮ Strong unique continuation for the Navier-Stokes equation with non-analytic forcing ⋮ Strong unique continuation for higher order elliptic equations with Gevrey coefficients ⋮ Doubling inequality and nodal sets for solutions of bi-Laplace equations ⋮ The nodal set of solutions to some elliptic problems: sublinear equations, and unstable two-phase membrane problem ⋮ Schauder estimates on smooth and singular spaces ⋮ Quantitative unique continuation for a parabolic equation ⋮ Singular Sets of Higher Order Elliptic Equations ⋮ Taylor formula for homogeneous groups and applications ⋮ On quantitative uniqueness for parabolic equations ⋮ Nodal sets and horizontal singular sets of ℍ-harmonic functions on the Heisenberg group

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